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Finding the Fourth Proportional to 122.52, 184.68 and 115.56

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Solution

The fourth proportional to 122.52, 184.68 and 115.56 is: 174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.52 : 184.68 = 115.56 : x
  2. Step 2: Convert to fraction form
    122.52/184.68 = 115.56/x
  3. Step 3: Cross multiply
    122.52x = 184.68 × 115.56
  4. Step 4: Simplify right side
    122.52x = 21,341.62
  5. Step 5: Solve for x
    x = 21,341.62/122.52
  6. Step 6: Final answer
    x = 174.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.