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Finding the Fourth Proportional to 311.31, 430.13 and 251.74

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Solution

The fourth proportional to 311.31, 430.13 and 251.74 is: 347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.31 : 430.13 = 251.74 : x
  2. Step 2: Convert to fraction form
    311.31/430.13 = 251.74/x
  3. Step 3: Cross multiply
    311.31x = 430.13 × 251.74
  4. Step 4: Simplify right side
    311.31x = 108,278.59
  5. Step 5: Solve for x
    x = 108,278.59/311.31
  6. Step 6: Final answer
    x = 347.82

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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.