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Finding the Fourth Proportional to 118.79, 177.80 and 80.18

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Solution

The fourth proportional to 118.79, 177.80 and 80.18 is: 120.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.79 : 177.80 = 80.18 : x
  2. Step 2: Convert to fraction form
    118.79/177.80 = 80.18/x
  3. Step 3: Cross multiply
    118.79x = 177.80 × 80.18
  4. Step 4: Simplify right side
    118.79x = 14,254.71
  5. Step 5: Solve for x
    x = 14,254.71/118.79
  6. Step 6: Final answer
    x = 120.00

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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.