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Finding the Fourth Proportional to 542.05, 747.96 and 306.00

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Solution

The fourth proportional to 542.05, 747.96 and 306.00 is: 422.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.05 : 747.96 = 306.00 : x
  2. Step 2: Convert to fraction form
    542.05/747.96 = 306.00/x
  3. Step 3: Cross multiply
    542.05x = 747.96 × 306.00
  4. Step 4: Simplify right side
    542.05x = 228,870.49
  5. Step 5: Solve for x
    x = 228,870.49/542.05
  6. Step 6: Final answer
    x = 422.23

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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.