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Finding the Fourth Proportional to 119.13, 177.85 and 108.78

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Solution

The fourth proportional to 119.13, 177.85 and 108.78 is: 162.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.13 : 177.85 = 108.78 : x
  2. Step 2: Convert to fraction form
    119.13/177.85 = 108.78/x
  3. Step 3: Cross multiply
    119.13x = 177.85 × 108.78
  4. Step 4: Simplify right side
    119.13x = 19,346.52
  5. Step 5: Solve for x
    x = 19,346.52/119.13
  6. Step 6: Final answer
    x = 162.40

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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.