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Finding the Fourth Proportional to 209.45, 288.96 and 135.76

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Solution

The fourth proportional to 209.45, 288.96 and 135.76 is: 187.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.45 : 288.96 = 135.76 : x
  2. Step 2: Convert to fraction form
    209.45/288.96 = 135.76/x
  3. Step 3: Cross multiply
    209.45x = 288.96 × 135.76
  4. Step 4: Simplify right side
    209.45x = 39,229.21
  5. Step 5: Solve for x
    x = 39,229.21/209.45
  6. Step 6: Final answer
    x = 187.30

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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.