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Finding the Fourth Proportional to 410.24, 565.43 and 331.27

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Solution

The fourth proportional to 410.24, 565.43 and 331.27 is: 456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.24 : 565.43 = 331.27 : x
  2. Step 2: Convert to fraction form
    410.24/565.43 = 331.27/x
  3. Step 3: Cross multiply
    410.24x = 565.43 × 331.27
  4. Step 4: Simplify right side
    410.24x = 187,308.17
  5. Step 5: Solve for x
    x = 187,308.17/410.24
  6. Step 6: Final answer
    x = 456.58

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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.