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Finding the Fourth Proportional to 311.31, 429.18 and 301.74

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Solution

The fourth proportional to 311.31, 429.18 and 301.74 is: 415.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.31 : 429.18 = 301.74 : x
  2. Step 2: Convert to fraction form
    311.31/429.18 = 301.74/x
  3. Step 3: Cross multiply
    311.31x = 429.18 × 301.74
  4. Step 4: Simplify right side
    311.31x = 129,500.77
  5. Step 5: Solve for x
    x = 129,500.77/311.31
  6. Step 6: Final answer
    x = 415.99

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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.