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Finding the Fourth Proportional to 311.24, 431.53 and 292.61

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Solution

The fourth proportional to 311.24, 431.53 and 292.61 is: 405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.24 : 431.53 = 292.61 : x
  2. Step 2: Convert to fraction form
    311.24/431.53 = 292.61/x
  3. Step 3: Cross multiply
    311.24x = 431.53 × 292.61
  4. Step 4: Simplify right side
    311.24x = 126,270.34
  5. Step 5: Solve for x
    x = 126,270.34/311.24
  6. Step 6: Final answer
    x = 405.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.