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Finding the Fourth Proportional to 119.80, 179.74 and 50.42

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Solution

The fourth proportional to 119.80, 179.74 and 50.42 is: 75.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.80 : 179.74 = 50.42 : x
  2. Step 2: Convert to fraction form
    119.80/179.74 = 50.42/x
  3. Step 3: Cross multiply
    119.80x = 179.74 × 50.42
  4. Step 4: Simplify right side
    119.80x = 9,062.69
  5. Step 5: Solve for x
    x = 9,062.69/119.80
  6. Step 6: Final answer
    x = 75.65

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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.