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Finding the Fourth Proportional to 362.27, 542.80 and 217.69

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Solution

The fourth proportional to 362.27, 542.80 and 217.69 is: 326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.27 : 542.80 = 217.69 : x
  2. Step 2: Convert to fraction form
    362.27/542.80 = 217.69/x
  3. Step 3: Cross multiply
    362.27x = 542.80 × 217.69
  4. Step 4: Simplify right side
    362.27x = 118,161.05
  5. Step 5: Solve for x
    x = 118,161.05/362.27
  6. Step 6: Final answer
    x = 326.17

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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.