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Finding the Fourth Proportional to 463.34, 694.95 and 138.63

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Solution

The fourth proportional to 463.34, 694.95 and 138.63 is: 207.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.34 : 694.95 = 138.63 : x
  2. Step 2: Convert to fraction form
    463.34/694.95 = 138.63/x
  3. Step 3: Cross multiply
    463.34x = 694.95 × 138.63
  4. Step 4: Simplify right side
    463.34x = 96,337.44
  5. Step 5: Solve for x
    x = 96,337.44/463.34
  6. Step 6: Final answer
    x = 207.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.