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Finding the Fourth Proportional to 362.70, 542.82 and 274.61

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Solution

The fourth proportional to 362.70, 542.82 and 274.61 is: 410.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.70 : 542.82 = 274.61 : x
  2. Step 2: Convert to fraction form
    362.70/542.82 = 274.61/x
  3. Step 3: Cross multiply
    362.70x = 542.82 × 274.61
  4. Step 4: Simplify right side
    362.70x = 149,061.09
  5. Step 5: Solve for x
    x = 149,061.09/362.70
  6. Step 6: Final answer
    x = 410.98

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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.