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Finding the Fourth Proportional to 237.12, 326.97 and 178.80

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Solution

The fourth proportional to 237.12, 326.97 and 178.80 is: 246.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.12 : 326.97 = 178.80 : x
  2. Step 2: Convert to fraction form
    237.12/326.97 = 178.80/x
  3. Step 3: Cross multiply
    237.12x = 326.97 × 178.80
  4. Step 4: Simplify right side
    237.12x = 58,462.24
  5. Step 5: Solve for x
    x = 58,462.24/237.12
  6. Step 6: Final answer
    x = 246.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.