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Finding the Fourth Proportional to 209.17, 288.63 and 120.65

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Solution

The fourth proportional to 209.17, 288.63 and 120.65 is: 166.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.17 : 288.63 = 120.65 : x
  2. Step 2: Convert to fraction form
    209.17/288.63 = 120.65/x
  3. Step 3: Cross multiply
    209.17x = 288.63 × 120.65
  4. Step 4: Simplify right side
    209.17x = 34,821.77
  5. Step 5: Solve for x
    x = 34,821.77/209.17
  6. Step 6: Final answer
    x = 166.48

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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.