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Finding the Fourth Proportional to 362.32, 542.55 and 225.16

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Solution

The fourth proportional to 362.32, 542.55 and 225.16 is: 337.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.32 : 542.55 = 225.16 : x
  2. Step 2: Convert to fraction form
    362.32/542.55 = 225.16/x
  3. Step 3: Cross multiply
    362.32x = 542.55 × 225.16
  4. Step 4: Simplify right side
    362.32x = 122,160.56
  5. Step 5: Solve for x
    x = 122,160.56/362.32
  6. Step 6: Final answer
    x = 337.16

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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.