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Finding the Fourth Proportional to 118.89, 177.24 and 111.99

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Solution

The fourth proportional to 118.89, 177.24 and 111.99 is: 166.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.89 : 177.24 = 111.99 : x
  2. Step 2: Convert to fraction form
    118.89/177.24 = 111.99/x
  3. Step 3: Cross multiply
    118.89x = 177.24 × 111.99
  4. Step 4: Simplify right side
    118.89x = 19,849.11
  5. Step 5: Solve for x
    x = 19,849.11/118.89
  6. Step 6: Final answer
    x = 166.95

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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.