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Finding the Fourth Proportional to 542.86, 749.10 and 306.85

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Solution

The fourth proportional to 542.86, 749.10 and 306.85 is: 423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.86 : 749.10 = 306.85 : x
  2. Step 2: Convert to fraction form
    542.86/749.10 = 306.85/x
  3. Step 3: Cross multiply
    542.86x = 749.10 × 306.85
  4. Step 4: Simplify right side
    542.86x = 229,859.46
  5. Step 5: Solve for x
    x = 229,859.46/542.86
  6. Step 6: Final answer
    x = 423.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.