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Finding the Fourth Proportional to 122.50, 184.67 and 115.88

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Solution

The fourth proportional to 122.50, 184.67 and 115.88 is: 174.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.50 : 184.67 = 115.88 : x
  2. Step 2: Convert to fraction form
    122.50/184.67 = 115.88/x
  3. Step 3: Cross multiply
    122.50x = 184.67 × 115.88
  4. Step 4: Simplify right side
    122.50x = 21,399.56
  5. Step 5: Solve for x
    x = 21,399.56/122.50
  6. Step 6: Final answer
    x = 174.70

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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.