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Finding the Fourth Proportional to 463.02, 638.58 and 363.39

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Solution

The fourth proportional to 463.02, 638.58 and 363.39 is: 501.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.02 : 638.58 = 363.39 : x
  2. Step 2: Convert to fraction form
    463.02/638.58 = 363.39/x
  3. Step 3: Cross multiply
    463.02x = 638.58 × 363.39
  4. Step 4: Simplify right side
    463.02x = 232,052.55
  5. Step 5: Solve for x
    x = 232,052.55/463.02
  6. Step 6: Final answer
    x = 501.18

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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.