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Finding the Fourth Proportional to 119.38, 179.88 and 99.54

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Solution

The fourth proportional to 119.38, 179.88 and 99.54 is: 149.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.38 : 179.88 = 99.54 : x
  2. Step 2: Convert to fraction form
    119.38/179.88 = 99.54/x
  3. Step 3: Cross multiply
    119.38x = 179.88 × 99.54
  4. Step 4: Simplify right side
    119.38x = 17,905.26
  5. Step 5: Solve for x
    x = 17,905.26/119.38
  6. Step 6: Final answer
    x = 149.99

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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.