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Finding the Fourth Proportional to 209.48, 289.24 and 135.88

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Solution

The fourth proportional to 209.48, 289.24 and 135.88 is: 187.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.48 : 289.24 = 135.88 : x
  2. Step 2: Convert to fraction form
    209.48/289.24 = 135.88/x
  3. Step 3: Cross multiply
    209.48x = 289.24 × 135.88
  4. Step 4: Simplify right side
    209.48x = 39,301.93
  5. Step 5: Solve for x
    x = 39,301.93/209.48
  6. Step 6: Final answer
    x = 187.62

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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.