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Finding the Fourth Proportional to 240.89, 332.21 and 194.24

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Solution

The fourth proportional to 240.89, 332.21 and 194.24 is: 267.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.89 : 332.21 = 194.24 : x
  2. Step 2: Convert to fraction form
    240.89/332.21 = 194.24/x
  3. Step 3: Cross multiply
    240.89x = 332.21 × 194.24
  4. Step 4: Simplify right side
    240.89x = 64,528.33
  5. Step 5: Solve for x
    x = 64,528.33/240.89
  6. Step 6: Final answer
    x = 267.88

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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.