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Finding the Fourth Proportional to 461.08, 691.67 and 152.92

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Solution

The fourth proportional to 461.08, 691.67 and 152.92 is: 229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.08 : 691.67 = 152.92 : x
  2. Step 2: Convert to fraction form
    461.08/691.67 = 152.92/x
  3. Step 3: Cross multiply
    461.08x = 691.67 × 152.92
  4. Step 4: Simplify right side
    461.08x = 105,770.18
  5. Step 5: Solve for x
    x = 105,770.18/461.08
  6. Step 6: Final answer
    x = 229.40

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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.