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Finding the Fourth Proportional to 119.39, 178.76 and 84.77

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Solution

The fourth proportional to 119.39, 178.76 and 84.77 is: 126.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.39 : 178.76 = 84.77 : x
  2. Step 2: Convert to fraction form
    119.39/178.76 = 84.77/x
  3. Step 3: Cross multiply
    119.39x = 178.76 × 84.77
  4. Step 4: Simplify right side
    119.39x = 15,152.17
  5. Step 5: Solve for x
    x = 15,152.17/119.39
  6. Step 6: Final answer
    x = 126.91

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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.