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Finding the Fourth Proportional to 240.41, 330.90 and 205.32

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Solution

The fourth proportional to 240.41, 330.90 and 205.32 is: 282.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.41 : 330.90 = 205.32 : x
  2. Step 2: Convert to fraction form
    240.41/330.90 = 205.32/x
  3. Step 3: Cross multiply
    240.41x = 330.90 × 205.32
  4. Step 4: Simplify right side
    240.41x = 67,940.86
  5. Step 5: Solve for x
    x = 67,940.86/240.41
  6. Step 6: Final answer
    x = 282.60

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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.