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Finding the Fourth Proportional to 362.26, 542.91 and 270.22

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Solution

The fourth proportional to 362.26, 542.91 and 270.22 is: 404.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.26 : 542.91 = 270.22 : x
  2. Step 2: Convert to fraction form
    362.26/542.91 = 270.22/x
  3. Step 3: Cross multiply
    362.26x = 542.91 × 270.22
  4. Step 4: Simplify right side
    362.26x = 146,705.14
  5. Step 5: Solve for x
    x = 146,705.14/362.26
  6. Step 6: Final answer
    x = 404.97

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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.