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Finding the Fourth Proportional to 462.61, 694.02 and 138.00

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Solution

The fourth proportional to 462.61, 694.02 and 138.00 is: 207.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.61 : 694.02 = 138.00 : x
  2. Step 2: Convert to fraction form
    462.61/694.02 = 138.00/x
  3. Step 3: Cross multiply
    462.61x = 694.02 × 138.00
  4. Step 4: Simplify right side
    462.61x = 95,777.10
  5. Step 5: Solve for x
    x = 95,777.10/462.61
  6. Step 6: Final answer
    x = 207.04

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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.