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Finding the Fourth Proportional to 215.42, 297.29 and 141.73

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Solution

The fourth proportional to 215.42, 297.29 and 141.73 is: 195.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.42 : 297.29 = 141.73 : x
  2. Step 2: Convert to fraction form
    215.42/297.29 = 141.73/x
  3. Step 3: Cross multiply
    215.42x = 297.29 × 141.73
  4. Step 4: Simplify right side
    215.42x = 42,134.52
  5. Step 5: Solve for x
    x = 42,134.52/215.42
  6. Step 6: Final answer
    x = 195.60

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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.