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Finding the Fourth Proportional to 240.75, 330.19 and 230.82

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Solution

The fourth proportional to 240.75, 330.19 and 230.82 is: 316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.75 : 330.19 = 230.82 : x
  2. Step 2: Convert to fraction form
    240.75/330.19 = 230.82/x
  3. Step 3: Cross multiply
    240.75x = 330.19 × 230.82
  4. Step 4: Simplify right side
    240.75x = 76,214.13
  5. Step 5: Solve for x
    x = 76,214.13/240.75
  6. Step 6: Final answer
    x = 316.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.