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Finding the Fourth Proportional to 209.61, 289.35 and 160.61

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Solution

The fourth proportional to 209.61, 289.35 and 160.61 is: 221.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.61 : 289.35 = 160.61 : x
  2. Step 2: Convert to fraction form
    209.61/289.35 = 160.61/x
  3. Step 3: Cross multiply
    209.61x = 289.35 × 160.61
  4. Step 4: Simplify right side
    209.61x = 46,471.06
  5. Step 5: Solve for x
    x = 46,471.06/209.61
  6. Step 6: Final answer
    x = 221.70

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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.