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Finding the Fourth Proportional to 240.84, 330.48 and 231.12

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Solution

The fourth proportional to 240.84, 330.48 and 231.12 is: 317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.84 : 330.48 = 231.12 : x
  2. Step 2: Convert to fraction form
    240.84/330.48 = 231.12/x
  3. Step 3: Cross multiply
    240.84x = 330.48 × 231.12
  4. Step 4: Simplify right side
    240.84x = 76,380.54
  5. Step 5: Solve for x
    x = 76,380.54/240.84
  6. Step 6: Final answer
    x = 317.14

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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.