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Finding the Fourth Proportional to 119.25, 178.90 and 55.13

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Solution

The fourth proportional to 119.25, 178.90 and 55.13 is: 82.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.25 : 178.90 = 55.13 : x
  2. Step 2: Convert to fraction form
    119.25/178.90 = 55.13/x
  3. Step 3: Cross multiply
    119.25x = 178.90 × 55.13
  4. Step 4: Simplify right side
    119.25x = 9,861.72
  5. Step 5: Solve for x
    x = 9,861.72/119.25
  6. Step 6: Final answer
    x = 82.70

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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.