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Finding the Fourth Proportional to 211.64, 291.97 and 141.73

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Solution

The fourth proportional to 211.64, 291.97 and 141.73 is: 195.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.64 : 291.97 = 141.73 : x
  2. Step 2: Convert to fraction form
    211.64/291.97 = 141.73/x
  3. Step 3: Cross multiply
    211.64x = 291.97 × 141.73
  4. Step 4: Simplify right side
    211.64x = 41,380.91
  5. Step 5: Solve for x
    x = 41,380.91/211.64
  6. Step 6: Final answer
    x = 195.52

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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.