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Finding the Fourth Proportional to 311.60, 429.89 and 180.65

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Solution

The fourth proportional to 311.60, 429.89 and 180.65 is: 249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.60 : 429.89 = 180.65 : x
  2. Step 2: Convert to fraction form
    311.60/429.89 = 180.65/x
  3. Step 3: Cross multiply
    311.60x = 429.89 × 180.65
  4. Step 4: Simplify right side
    311.60x = 77,656.58
  5. Step 5: Solve for x
    x = 77,656.58/311.60
  6. Step 6: Final answer
    x = 249.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.