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Finding the Fourth Proportional to 226.48, 337.48 and 219.12

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Solution

The fourth proportional to 226.48, 337.48 and 219.12 is: 326.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.48 : 337.48 = 219.12 : x
  2. Step 2: Convert to fraction form
    226.48/337.48 = 219.12/x
  3. Step 3: Cross multiply
    226.48x = 337.48 × 219.12
  4. Step 4: Simplify right side
    226.48x = 73,948.62
  5. Step 5: Solve for x
    x = 73,948.62/226.48
  6. Step 6: Final answer
    x = 326.51

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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.