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Finding the Fourth Proportional to 174.65, 240.94 and 115.71

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Solution

The fourth proportional to 174.65, 240.94 and 115.71 is: 159.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.65 : 240.94 = 115.71 : x
  2. Step 2: Convert to fraction form
    174.65/240.94 = 115.71/x
  3. Step 3: Cross multiply
    174.65x = 240.94 × 115.71
  4. Step 4: Simplify right side
    174.65x = 27,878.54
  5. Step 5: Solve for x
    x = 27,878.54/174.65
  6. Step 6: Final answer
    x = 159.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.