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Finding the Fourth Proportional to 174.24, 238.87 and 171.17

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Solution

The fourth proportional to 174.24, 238.87 and 171.17 is: 234.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.24 : 238.87 = 171.17 : x
  2. Step 2: Convert to fraction form
    174.24/238.87 = 171.17/x
  3. Step 3: Cross multiply
    174.24x = 238.87 × 171.17
  4. Step 4: Simplify right side
    174.24x = 40,887.38
  5. Step 5: Solve for x
    x = 40,887.38/174.24
  6. Step 6: Final answer
    x = 234.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.