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Finding the Fourth Proportional to 119.28, 177.77 and 115.38

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Solution

The fourth proportional to 119.28, 177.77 and 115.38 is: 171.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.28 : 177.77 = 115.38 : x
  2. Step 2: Convert to fraction form
    119.28/177.77 = 115.38/x
  3. Step 3: Cross multiply
    119.28x = 177.77 × 115.38
  4. Step 4: Simplify right side
    119.28x = 20,510.53
  5. Step 5: Solve for x
    x = 20,510.53/119.28
  6. Step 6: Final answer
    x = 171.95

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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.