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Finding the Fourth Proportional to 209.02, 288.71 and 160.49

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Solution

The fourth proportional to 209.02, 288.71 and 160.49 is: 221.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.02 : 288.71 = 160.49 : x
  2. Step 2: Convert to fraction form
    209.02/288.71 = 160.49/x
  3. Step 3: Cross multiply
    209.02x = 288.71 × 160.49
  4. Step 4: Simplify right side
    209.02x = 46,335.07
  5. Step 5: Solve for x
    x = 46,335.07/209.02
  6. Step 6: Final answer
    x = 221.68

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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.