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Finding the Fourth Proportional to 241.32, 332.46 and 197.40

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Solution

The fourth proportional to 241.32, 332.46 and 197.40 is: 271.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.32 : 332.46 = 197.40 : x
  2. Step 2: Convert to fraction form
    241.32/332.46 = 197.40/x
  3. Step 3: Cross multiply
    241.32x = 332.46 × 197.40
  4. Step 4: Simplify right side
    241.32x = 65,627.60
  5. Step 5: Solve for x
    x = 65,627.60/241.32
  6. Step 6: Final answer
    x = 271.95

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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.