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Finding the Fourth Proportional to 119.28, 178.11 and 99.06

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Solution

The fourth proportional to 119.28, 178.11 and 99.06 is: 147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.28 : 178.11 = 99.06 : x
  2. Step 2: Convert to fraction form
    119.28/178.11 = 99.06/x
  3. Step 3: Cross multiply
    119.28x = 178.11 × 99.06
  4. Step 4: Simplify right side
    119.28x = 17,643.58
  5. Step 5: Solve for x
    x = 17,643.58/119.28
  6. Step 6: Final answer
    x = 147.92

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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.