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Finding the Fourth Proportional to 412.76, 569.57 and 235.74

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Solution

The fourth proportional to 412.76, 569.57 and 235.74 is: 325.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.76 : 569.57 = 235.74 : x
  2. Step 2: Convert to fraction form
    412.76/569.57 = 235.74/x
  3. Step 3: Cross multiply
    412.76x = 569.57 × 235.74
  4. Step 4: Simplify right side
    412.76x = 134,270.43
  5. Step 5: Solve for x
    x = 134,270.43/412.76
  6. Step 6: Final answer
    x = 325.30

Related Problems

Find fourth proportional to 206.38, 284.79 and 117.87
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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.