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Finding the Fourth Proportional to 240.96, 334.08 and 230.88

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Solution

The fourth proportional to 240.96, 334.08 and 230.88 is: 320.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.96 : 334.08 = 230.88 : x
  2. Step 2: Convert to fraction form
    240.96/334.08 = 230.88/x
  3. Step 3: Cross multiply
    240.96x = 334.08 × 230.88
  4. Step 4: Simplify right side
    240.96x = 77,132.39
  5. Step 5: Solve for x
    x = 77,132.39/240.96
  6. Step 6: Final answer
    x = 320.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.