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Finding the Fourth Proportional to 422.13, 582.15 and 311.88

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Solution

The fourth proportional to 422.13, 582.15 and 311.88 is: 430.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.13 : 582.15 = 311.88 : x
  2. Step 2: Convert to fraction form
    422.13/582.15 = 311.88/x
  3. Step 3: Cross multiply
    422.13x = 582.15 × 311.88
  4. Step 4: Simplify right side
    422.13x = 181,560.94
  5. Step 5: Solve for x
    x = 181,560.94/422.13
  6. Step 6: Final answer
    x = 430.11

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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.