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Finding the Fourth Proportional to 226.10, 337.19 and 216.31

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Solution

The fourth proportional to 226.10, 337.19 and 216.31 is: 322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.10 : 337.19 = 216.31 : x
  2. Step 2: Convert to fraction form
    226.10/337.19 = 216.31/x
  3. Step 3: Cross multiply
    226.10x = 337.19 × 216.31
  4. Step 4: Simplify right side
    226.10x = 72,937.57
  5. Step 5: Solve for x
    x = 72,937.57/226.10
  6. Step 6: Final answer
    x = 322.59

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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.