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Finding the Fourth Proportional to 457.13, 631.08 and 280.13

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Solution

The fourth proportional to 457.13, 631.08 and 280.13 is: 386.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.13 : 631.08 = 280.13 : x
  2. Step 2: Convert to fraction form
    457.13/631.08 = 280.13/x
  3. Step 3: Cross multiply
    457.13x = 631.08 × 280.13
  4. Step 4: Simplify right side
    457.13x = 176,781.29
  5. Step 5: Solve for x
    x = 176,781.29/457.13
  6. Step 6: Final answer
    x = 386.72

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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.