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Finding the Fourth Proportional to 209.16, 288.61 and 120.64

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Solution

The fourth proportional to 209.16, 288.61 and 120.64 is: 166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.16 : 288.61 = 120.64 : x
  2. Step 2: Convert to fraction form
    209.16/288.61 = 120.64/x
  3. Step 3: Cross multiply
    209.16x = 288.61 × 120.64
  4. Step 4: Simplify right side
    209.16x = 34,817.91
  5. Step 5: Solve for x
    x = 34,817.91/209.16
  6. Step 6: Final answer
    x = 166.47

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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.