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Finding the Fourth Proportional to 209.39, 288.81 and 135.81

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Solution

The fourth proportional to 209.39, 288.81 and 135.81 is: 187.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.39 : 288.81 = 135.81 : x
  2. Step 2: Convert to fraction form
    209.39/288.81 = 135.81/x
  3. Step 3: Cross multiply
    209.39x = 288.81 × 135.81
  4. Step 4: Simplify right side
    209.39x = 39,223.29
  5. Step 5: Solve for x
    x = 39,223.29/209.39
  6. Step 6: Final answer
    x = 187.33

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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.