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Finding the Fourth Proportional to 120.57, 166.27 and 115.89

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Solution

The fourth proportional to 120.57, 166.27 and 115.89 is: 159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.57 : 166.27 = 115.89 : x
  2. Step 2: Convert to fraction form
    120.57/166.27 = 115.89/x
  3. Step 3: Cross multiply
    120.57x = 166.27 × 115.89
  4. Step 4: Simplify right side
    120.57x = 19,269.03
  5. Step 5: Solve for x
    x = 19,269.03/120.57
  6. Step 6: Final answer
    x = 159.82

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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.