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Finding the Fourth Proportional to 494.76, 742.24 and 311.95

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Solution

The fourth proportional to 494.76, 742.24 and 311.95 is: 467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.76 : 742.24 = 311.95 : x
  2. Step 2: Convert to fraction form
    494.76/742.24 = 311.95/x
  3. Step 3: Cross multiply
    494.76x = 742.24 × 311.95
  4. Step 4: Simplify right side
    494.76x = 231,541.77
  5. Step 5: Solve for x
    x = 231,541.77/494.76
  6. Step 6: Final answer
    x = 467.99

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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.