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Finding the Fourth Proportional to 231.22, 344.27 and 230.20

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Solution

The fourth proportional to 231.22, 344.27 and 230.20 is: 342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.22 : 344.27 = 230.20 : x
  2. Step 2: Convert to fraction form
    231.22/344.27 = 230.20/x
  3. Step 3: Cross multiply
    231.22x = 344.27 × 230.20
  4. Step 4: Simplify right side
    231.22x = 79,250.95
  5. Step 5: Solve for x
    x = 79,250.95/231.22
  6. Step 6: Final answer
    x = 342.75

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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.