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Finding the Fourth Proportional to 463.02, 638.87 and 337.19

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Solution

The fourth proportional to 463.02, 638.87 and 337.19 is: 465.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.02 : 638.87 = 337.19 : x
  2. Step 2: Convert to fraction form
    463.02/638.87 = 337.19/x
  3. Step 3: Cross multiply
    463.02x = 638.87 × 337.19
  4. Step 4: Simplify right side
    463.02x = 215,415.70
  5. Step 5: Solve for x
    x = 215,415.70/463.02
  6. Step 6: Final answer
    x = 465.24

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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.