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Finding the Fourth Proportional to 174.76, 242.34 and 169.24

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Solution

The fourth proportional to 174.76, 242.34 and 169.24 is: 234.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.76 : 242.34 = 169.24 : x
  2. Step 2: Convert to fraction form
    174.76/242.34 = 169.24/x
  3. Step 3: Cross multiply
    174.76x = 242.34 × 169.24
  4. Step 4: Simplify right side
    174.76x = 41,013.62
  5. Step 5: Solve for x
    x = 41,013.62/174.76
  6. Step 6: Final answer
    x = 234.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.