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Finding the Fourth Proportional to 307.38, 463.11 and 279.62

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Solution

The fourth proportional to 307.38, 463.11 and 279.62 is: 421.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.38 : 463.11 = 279.62 : x
  2. Step 2: Convert to fraction form
    307.38/463.11 = 279.62/x
  3. Step 3: Cross multiply
    307.38x = 463.11 × 279.62
  4. Step 4: Simplify right side
    307.38x = 129,494.82
  5. Step 5: Solve for x
    x = 129,494.82/307.38
  6. Step 6: Final answer
    x = 421.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.