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Finding the Fourth Proportional to 542.61, 813.50 and 250.30

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Solution

The fourth proportional to 542.61, 813.50 and 250.30 is: 375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.61 : 813.50 = 250.30 : x
  2. Step 2: Convert to fraction form
    542.61/813.50 = 250.30/x
  3. Step 3: Cross multiply
    542.61x = 813.50 × 250.30
  4. Step 4: Simplify right side
    542.61x = 203,613.73
  5. Step 5: Solve for x
    x = 203,613.73/542.61
  6. Step 6: Final answer
    x = 375.25

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1.5x scale

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.