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Finding the Fourth Proportional to 209.78, 289.50 and 122.50

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Solution

The fourth proportional to 209.78, 289.50 and 122.50 is: 169.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.78 : 289.50 = 122.50 : x
  2. Step 2: Convert to fraction form
    209.78/289.50 = 122.50/x
  3. Step 3: Cross multiply
    209.78x = 289.50 × 122.50
  4. Step 4: Simplify right side
    209.78x = 35,463.75
  5. Step 5: Solve for x
    x = 35,463.75/209.78
  6. Step 6: Final answer
    x = 169.05

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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.