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Finding the Fourth Proportional to 240.50, 329.84 and 230.57

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Solution

The fourth proportional to 240.50, 329.84 and 230.57 is: 316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.50 : 329.84 = 230.57 : x
  2. Step 2: Convert to fraction form
    240.50/329.84 = 230.57/x
  3. Step 3: Cross multiply
    240.50x = 329.84 × 230.57
  4. Step 4: Simplify right side
    240.50x = 76,052.32
  5. Step 5: Solve for x
    x = 76,052.32/240.50
  6. Step 6: Final answer
    x = 316.23

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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.