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Finding the Fourth Proportional to 463.68, 638.46 and 365.40

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Solution

The fourth proportional to 463.68, 638.46 and 365.40 is: 503.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.68 : 638.46 = 365.40 : x
  2. Step 2: Convert to fraction form
    463.68/638.46 = 365.40/x
  3. Step 3: Cross multiply
    463.68x = 638.46 × 365.40
  4. Step 4: Simplify right side
    463.68x = 233,293.28
  5. Step 5: Solve for x
    x = 233,293.28/463.68
  6. Step 6: Final answer
    x = 503.13

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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.