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Finding the Fourth Proportional to 209.25, 288.68 and 142.79

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Solution

The fourth proportional to 209.25, 288.68 and 142.79 is: 196.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.25 : 288.68 = 142.79 : x
  2. Step 2: Convert to fraction form
    209.25/288.68 = 142.79/x
  3. Step 3: Cross multiply
    209.25x = 288.68 × 142.79
  4. Step 4: Simplify right side
    209.25x = 41,218.46
  5. Step 5: Solve for x
    x = 41,218.46/209.25
  6. Step 6: Final answer
    x = 196.98

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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.