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Finding the Fourth Proportional to 125.27, 186.82 and 119.35

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Solution

The fourth proportional to 125.27, 186.82 and 119.35 is: 177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.27 : 186.82 = 119.35 : x
  2. Step 2: Convert to fraction form
    125.27/186.82 = 119.35/x
  3. Step 3: Cross multiply
    125.27x = 186.82 × 119.35
  4. Step 4: Simplify right side
    125.27x = 22,296.97
  5. Step 5: Solve for x
    x = 22,296.97/125.27
  6. Step 6: Final answer
    x = 177.99

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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.