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Finding the Fourth Proportional to 209.64, 288.96 and 160.44

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Solution

The fourth proportional to 209.64, 288.96 and 160.44 is: 221.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.64 : 288.96 = 160.44 : x
  2. Step 2: Convert to fraction form
    209.64/288.96 = 160.44/x
  3. Step 3: Cross multiply
    209.64x = 288.96 × 160.44
  4. Step 4: Simplify right side
    209.64x = 46,360.74
  5. Step 5: Solve for x
    x = 46,360.74/209.64
  6. Step 6: Final answer
    x = 221.14

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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.