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Finding the Fourth Proportional to 542.46, 813.77 and 250.05

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Solution

The fourth proportional to 542.46, 813.77 and 250.05 is: 375.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.46 : 813.77 = 250.05 : x
  2. Step 2: Convert to fraction form
    542.46/813.77 = 250.05/x
  3. Step 3: Cross multiply
    542.46x = 813.77 × 250.05
  4. Step 4: Simplify right side
    542.46x = 203,481.94
  5. Step 5: Solve for x
    x = 203,481.94/542.46
  6. Step 6: Final answer
    x = 375.11

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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.