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Finding the Fourth Proportional to 209.18, 287.15 and 192.78

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Solution

The fourth proportional to 209.18, 287.15 and 192.78 is: 264.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.18 : 287.15 = 192.78 : x
  2. Step 2: Convert to fraction form
    209.18/287.15 = 192.78/x
  3. Step 3: Cross multiply
    209.18x = 287.15 × 192.78
  4. Step 4: Simplify right side
    209.18x = 55,355.81
  5. Step 5: Solve for x
    x = 55,355.81/209.18
  6. Step 6: Final answer
    x = 264.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.