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Finding the Fourth Proportional to 209.39, 289.04 and 153.50

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Solution

The fourth proportional to 209.39, 289.04 and 153.50 is: 211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.39 : 289.04 = 153.50 : x
  2. Step 2: Convert to fraction form
    209.39/289.04 = 153.50/x
  3. Step 3: Cross multiply
    209.39x = 289.04 × 153.50
  4. Step 4: Simplify right side
    209.39x = 44,365.43
  5. Step 5: Solve for x
    x = 44,365.43/209.39
  6. Step 6: Final answer
    x = 211.88

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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.