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Finding the Fourth Proportional to 151.89, 209.21 and 141.81

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Solution

The fourth proportional to 151.89, 209.21 and 141.81 is: 195.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.89 : 209.21 = 141.81 : x
  2. Step 2: Convert to fraction form
    151.89/209.21 = 141.81/x
  3. Step 3: Cross multiply
    151.89x = 209.21 × 141.81
  4. Step 4: Simplify right side
    151.89x = 29,667.02
  5. Step 5: Solve for x
    x = 29,667.02/151.89
  6. Step 6: Final answer
    x = 195.33

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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.