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Finding the Fourth Proportional to 362.29, 542.39 and 213.60

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Solution

The fourth proportional to 362.29, 542.39 and 213.60 is: 319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.29 : 542.39 = 213.60 : x
  2. Step 2: Convert to fraction form
    362.29/542.39 = 213.60/x
  3. Step 3: Cross multiply
    362.29x = 542.39 × 213.60
  4. Step 4: Simplify right side
    362.29x = 115,854.50
  5. Step 5: Solve for x
    x = 115,854.50/362.29
  6. Step 6: Final answer
    x = 319.78

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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.