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Finding the Fourth Proportional to 191.80, 287.69 and 129.11

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Solution

The fourth proportional to 191.80, 287.69 and 129.11 is: 193.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.80 : 287.69 = 129.11 : x
  2. Step 2: Convert to fraction form
    191.80/287.69 = 129.11/x
  3. Step 3: Cross multiply
    191.80x = 287.69 × 129.11
  4. Step 4: Simplify right side
    191.80x = 37,143.01
  5. Step 5: Solve for x
    x = 37,143.01/191.80
  6. Step 6: Final answer
    x = 193.66

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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.