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Finding the Fourth Proportional to 240.08, 331 and 232.80

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Solution

The fourth proportional to 240.08, 331 and 232.80 is: 320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.08 : 331 = 232.80 : x
  2. Step 2: Convert to fraction form
    240.08/331 = 232.80/x
  3. Step 3: Cross multiply
    240.08x = 331 × 232.80
  4. Step 4: Simplify right side
    240.08x = 77,056.80
  5. Step 5: Solve for x
    x = 77,056.80/240.08
  6. Step 6: Final answer
    x = 320.96

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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.