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Finding the Fourth Proportional to 119.80, 178.85 and 99.56

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Solution

The fourth proportional to 119.80, 178.85 and 99.56 is: 148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.80 : 178.85 = 99.56 : x
  2. Step 2: Convert to fraction form
    119.80/178.85 = 99.56/x
  3. Step 3: Cross multiply
    119.80x = 178.85 × 99.56
  4. Step 4: Simplify right side
    119.80x = 17,806.31
  5. Step 5: Solve for x
    x = 17,806.31/119.80
  6. Step 6: Final answer
    x = 148.63

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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.