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Finding the Fourth Proportional to 209.12, 288.60 and 120.61

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Solution

The fourth proportional to 209.12, 288.60 and 120.61 is: 166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.12 : 288.60 = 120.61 : x
  2. Step 2: Convert to fraction form
    209.12/288.60 = 120.61/x
  3. Step 3: Cross multiply
    209.12x = 288.60 × 120.61
  4. Step 4: Simplify right side
    209.12x = 34,807.95
  5. Step 5: Solve for x
    x = 34,807.95/209.12
  6. Step 6: Final answer
    x = 166.45

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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.