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Finding the Fourth Proportional to 209.59, 289.20 and 121.08

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Solution

The fourth proportional to 209.59, 289.20 and 121.08 is: 167.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.59 : 289.20 = 121.08 : x
  2. Step 2: Convert to fraction form
    209.59/289.20 = 121.08/x
  3. Step 3: Cross multiply
    209.59x = 289.20 × 121.08
  4. Step 4: Simplify right side
    209.59x = 35,014.89
  5. Step 5: Solve for x
    x = 35,014.89/209.59
  6. Step 6: Final answer
    x = 167.06

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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.