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Finding the Fourth Proportional to 462.24, 691.63 and 256.96

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Solution

The fourth proportional to 462.24, 691.63 and 256.96 is: 384.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.24 : 691.63 = 256.96 : x
  2. Step 2: Convert to fraction form
    462.24/691.63 = 256.96/x
  3. Step 3: Cross multiply
    462.24x = 691.63 × 256.96
  4. Step 4: Simplify right side
    462.24x = 177,721.47
  5. Step 5: Solve for x
    x = 177,721.47/462.24
  6. Step 6: Final answer
    x = 384.48

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.