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Finding the Fourth Proportional to 231.39, 344.15 and 226.53

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Solution

The fourth proportional to 231.39, 344.15 and 226.53 is: 336.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.39 : 344.15 = 226.53 : x
  2. Step 2: Convert to fraction form
    231.39/344.15 = 226.53/x
  3. Step 3: Cross multiply
    231.39x = 344.15 × 226.53
  4. Step 4: Simplify right side
    231.39x = 77,960.02
  5. Step 5: Solve for x
    x = 77,960.02/231.39
  6. Step 6: Final answer
    x = 336.92

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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.