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Finding the Fourth Proportional to 209.25, 288.56 and 192.70

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Solution

The fourth proportional to 209.25, 288.56 and 192.70 is: 265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.25 : 288.56 = 192.70 : x
  2. Step 2: Convert to fraction form
    209.25/288.56 = 192.70/x
  3. Step 3: Cross multiply
    209.25x = 288.56 × 192.70
  4. Step 4: Simplify right side
    209.25x = 55,605.34
  5. Step 5: Solve for x
    x = 55,605.34/209.25
  6. Step 6: Final answer
    x = 265.73

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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.