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Finding the Fourth Proportional to 171.87, 257.50 and 94.65

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Solution

The fourth proportional to 171.87, 257.50 and 94.65 is: 141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.87 : 257.50 = 94.65 : x
  2. Step 2: Convert to fraction form
    171.87/257.50 = 94.65/x
  3. Step 3: Cross multiply
    171.87x = 257.50 × 94.65
  4. Step 4: Simplify right side
    171.87x = 24,372.38
  5. Step 5: Solve for x
    x = 24,372.38/171.87
  6. Step 6: Final answer
    x = 141.81

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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.