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Finding the Fourth Proportional to 215.68, 297.42 and 141.92

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Solution

The fourth proportional to 215.68, 297.42 and 141.92 is: 195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.68 : 297.42 = 141.92 : x
  2. Step 2: Convert to fraction form
    215.68/297.42 = 141.92/x
  3. Step 3: Cross multiply
    215.68x = 297.42 × 141.92
  4. Step 4: Simplify right side
    215.68x = 42,209.85
  5. Step 5: Solve for x
    x = 42,209.85/215.68
  6. Step 6: Final answer
    x = 195.71

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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.