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Finding the Fourth Proportional to 461.12, 691.65 and 136.49

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Solution

The fourth proportional to 461.12, 691.65 and 136.49 is: 204.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.12 : 691.65 = 136.49 : x
  2. Step 2: Convert to fraction form
    461.12/691.65 = 136.49/x
  3. Step 3: Cross multiply
    461.12x = 691.65 × 136.49
  4. Step 4: Simplify right side
    461.12x = 94,399.85
  5. Step 5: Solve for x
    x = 94,399.85/461.12
  6. Step 6: Final answer
    x = 204.72

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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.