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Finding the Fourth Proportional to 463.29, 638.35 and 358.40

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Solution

The fourth proportional to 463.29, 638.35 and 358.40 is: 493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.29 : 638.35 = 358.40 : x
  2. Step 2: Convert to fraction form
    463.29/638.35 = 358.40/x
  3. Step 3: Cross multiply
    463.29x = 638.35 × 358.40
  4. Step 4: Simplify right side
    463.29x = 228,781.45
  5. Step 5: Solve for x
    x = 228,781.45/463.29
  6. Step 6: Final answer
    x = 493.82

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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.