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Finding the Fourth Proportional to 225.92, 337.17 and 220.16

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Solution

The fourth proportional to 225.92, 337.17 and 220.16 is: 328.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.92 : 337.17 = 220.16 : x
  2. Step 2: Convert to fraction form
    225.92/337.17 = 220.16/x
  3. Step 3: Cross multiply
    225.92x = 337.17 × 220.16
  4. Step 4: Simplify right side
    225.92x = 74,231.35
  5. Step 5: Solve for x
    x = 74,231.35/225.92
  6. Step 6: Final answer
    x = 328.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.