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Finding the Fourth Proportional to 241.20, 332.78 and 142.90

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Solution

The fourth proportional to 241.20, 332.78 and 142.90 is: 197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.20 : 332.78 = 142.90 : x
  2. Step 2: Convert to fraction form
    241.20/332.78 = 142.90/x
  3. Step 3: Cross multiply
    241.20x = 332.78 × 142.90
  4. Step 4: Simplify right side
    241.20x = 47,552.72
  5. Step 5: Solve for x
    x = 47,552.72/241.20
  6. Step 6: Final answer
    x = 197.15

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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.