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Finding the Fourth Proportional to 542.94, 814.49 and 311.78

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Solution

The fourth proportional to 542.94, 814.49 and 311.78 is: 467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.94 : 814.49 = 311.78 : x
  2. Step 2: Convert to fraction form
    542.94/814.49 = 311.78/x
  3. Step 3: Cross multiply
    542.94x = 814.49 × 311.78
  4. Step 4: Simplify right side
    542.94x = 253,936.06
  5. Step 5: Solve for x
    x = 253,936.06/542.94
  6. Step 6: Final answer
    x = 467.71

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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.