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Finding the Fourth Proportional to 118.89, 177.05 and 115.83

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Solution

The fourth proportional to 118.89, 177.05 and 115.83 is: 172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.89 : 177.05 = 115.83 : x
  2. Step 2: Convert to fraction form
    118.89/177.05 = 115.83/x
  3. Step 3: Cross multiply
    118.89x = 177.05 × 115.83
  4. Step 4: Simplify right side
    118.89x = 20,507.99
  5. Step 5: Solve for x
    x = 20,507.99/118.89
  6. Step 6: Final answer
    x = 172.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.