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Finding the Fourth Proportional to 542.33, 812.96 and 298.61

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Solution

The fourth proportional to 542.33, 812.96 and 298.61 is: 447.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.33 : 812.96 = 298.61 : x
  2. Step 2: Convert to fraction form
    542.33/812.96 = 298.61/x
  3. Step 3: Cross multiply
    542.33x = 812.96 × 298.61
  4. Step 4: Simplify right side
    542.33x = 242,756.49
  5. Step 5: Solve for x
    x = 242,756.49/542.33
  6. Step 6: Final answer
    x = 447.62

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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.