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Finding the Fourth Proportional to 462.16, 691.80 and 264.24

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Solution

The fourth proportional to 462.16, 691.80 and 264.24 is: 395.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.16 : 691.80 = 264.24 : x
  2. Step 2: Convert to fraction form
    462.16/691.80 = 264.24/x
  3. Step 3: Cross multiply
    462.16x = 691.80 × 264.24
  4. Step 4: Simplify right side
    462.16x = 182,801.23
  5. Step 5: Solve for x
    x = 182,801.23/462.16
  6. Step 6: Final answer
    x = 395.54

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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.