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Finding the Fourth Proportional to 241.12, 332.68 and 142.88

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Solution

The fourth proportional to 241.12, 332.68 and 142.88 is: 197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.12 : 332.68 = 142.88 : x
  2. Step 2: Convert to fraction form
    241.12/332.68 = 142.88/x
  3. Step 3: Cross multiply
    241.12x = 332.68 × 142.88
  4. Step 4: Simplify right side
    241.12x = 47,533.32
  5. Step 5: Solve for x
    x = 47,533.32/241.12
  6. Step 6: Final answer
    x = 197.14

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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.