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Finding the Fourth Proportional to 209.11, 288.41 and 153.97

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Solution

The fourth proportional to 209.11, 288.41 and 153.97 is: 212.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.11 : 288.41 = 153.97 : x
  2. Step 2: Convert to fraction form
    209.11/288.41 = 153.97/x
  3. Step 3: Cross multiply
    209.11x = 288.41 × 153.97
  4. Step 4: Simplify right side
    209.11x = 44,405.05
  5. Step 5: Solve for x
    x = 44,405.05/209.11
  6. Step 6: Final answer
    x = 212.35

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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.