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Finding the Fourth Proportional to 542.79, 749.09 and 306.73

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Solution

The fourth proportional to 542.79, 749.09 and 306.73 is: 423.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.79 : 749.09 = 306.73 : x
  2. Step 2: Convert to fraction form
    542.79/749.09 = 306.73/x
  3. Step 3: Cross multiply
    542.79x = 749.09 × 306.73
  4. Step 4: Simplify right side
    542.79x = 229,766.84
  5. Step 5: Solve for x
    x = 229,766.84/542.79
  6. Step 6: Final answer
    x = 423.31

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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.