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Finding the Fourth Proportional to 231.72, 345.92 and 197.11

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Solution

The fourth proportional to 231.72, 345.92 and 197.11 is: 294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.72 : 345.92 = 197.11 : x
  2. Step 2: Convert to fraction form
    231.72/345.92 = 197.11/x
  3. Step 3: Cross multiply
    231.72x = 345.92 × 197.11
  4. Step 4: Simplify right side
    231.72x = 68,184.29
  5. Step 5: Solve for x
    x = 68,184.29/231.72
  6. Step 6: Final answer
    x = 294.25

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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.