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Finding the Fourth Proportional to 461, 691.38 and 168.65

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Solution

The fourth proportional to 461, 691.38 and 168.65 is: 252.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    461 : 691.38 = 168.65 : x
  2. Step 2: Convert to fraction form
    461/691.38 = 168.65/x
  3. Step 3: Cross multiply
    461x = 691.38 × 168.65
  4. Step 4: Simplify right side
    461x = 116,601.24
  5. Step 5: Solve for x
    x = 116,601.24/461
  6. Step 6: Final answer
    x = 252.93

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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.