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Finding the Fourth Proportional to 462.69, 694.17 and 138.06

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Solution

The fourth proportional to 462.69, 694.17 and 138.06 is: 207.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.69 : 694.17 = 138.06 : x
  2. Step 2: Convert to fraction form
    462.69/694.17 = 138.06/x
  3. Step 3: Cross multiply
    462.69x = 694.17 × 138.06
  4. Step 4: Simplify right side
    462.69x = 95,837.11
  5. Step 5: Solve for x
    x = 95,837.11/462.69
  6. Step 6: Final answer
    x = 207.13

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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.