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Finding the Fourth Proportional to 229.98, 343.01 and 225.12

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Solution

The fourth proportional to 229.98, 343.01 and 225.12 is: 335.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.98 : 343.01 = 225.12 : x
  2. Step 2: Convert to fraction form
    229.98/343.01 = 225.12/x
  3. Step 3: Cross multiply
    229.98x = 343.01 × 225.12
  4. Step 4: Simplify right side
    229.98x = 77,218.41
  5. Step 5: Solve for x
    x = 77,218.41/229.98
  6. Step 6: Final answer
    x = 335.76

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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.