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Finding the Fourth Proportional to 237.78, 354.11 and 231.66

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Solution

The fourth proportional to 237.78, 354.11 and 231.66 is: 344.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.78 : 354.11 = 231.66 : x
  2. Step 2: Convert to fraction form
    237.78/354.11 = 231.66/x
  3. Step 3: Cross multiply
    237.78x = 354.11 × 231.66
  4. Step 4: Simplify right side
    237.78x = 82,031.96
  5. Step 5: Solve for x
    x = 82,031.96/237.78
  6. Step 6: Final answer
    x = 344.99

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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.