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Finding the Fourth Proportional to 119.96, 179.68 and 98.18

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Solution

The fourth proportional to 119.96, 179.68 and 98.18 is: 147.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.96 : 179.68 = 98.18 : x
  2. Step 2: Convert to fraction form
    119.96/179.68 = 98.18/x
  3. Step 3: Cross multiply
    119.96x = 179.68 × 98.18
  4. Step 4: Simplify right side
    119.96x = 17,640.98
  5. Step 5: Solve for x
    x = 17,640.98/119.96
  6. Step 6: Final answer
    x = 147.06

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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.