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Finding the Fourth Proportional to 542.98, 749.31 and 306.93

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Solution

The fourth proportional to 542.98, 749.31 and 306.93 is: 423.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.98 : 749.31 = 306.93 : x
  2. Step 2: Convert to fraction form
    542.98/749.31 = 306.93/x
  3. Step 3: Cross multiply
    542.98x = 749.31 × 306.93
  4. Step 4: Simplify right side
    542.98x = 229,985.72
  5. Step 5: Solve for x
    x = 229,985.72/542.98
  6. Step 6: Final answer
    x = 423.56

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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.