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Finding the Fourth Proportional to 119.88, 180.02 and 100.64

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Solution

The fourth proportional to 119.88, 180.02 and 100.64 is: 151.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.88 : 180.02 = 100.64 : x
  2. Step 2: Convert to fraction form
    119.88/180.02 = 100.64/x
  3. Step 3: Cross multiply
    119.88x = 180.02 × 100.64
  4. Step 4: Simplify right side
    119.88x = 18,117.91
  5. Step 5: Solve for x
    x = 18,117.91/119.88
  6. Step 6: Final answer
    x = 151.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.