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Finding the Fourth Proportional to 463.62, 639.80 and 267.14

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Solution

The fourth proportional to 463.62, 639.80 and 267.14 is: 368.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.62 : 639.80 = 267.14 : x
  2. Step 2: Convert to fraction form
    463.62/639.80 = 267.14/x
  3. Step 3: Cross multiply
    463.62x = 639.80 × 267.14
  4. Step 4: Simplify right side
    463.62x = 170,916.17
  5. Step 5: Solve for x
    x = 170,916.17/463.62
  6. Step 6: Final answer
    x = 368.66

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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.