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Finding the Fourth Proportional to 192.20, 287.29 and 149

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Solution

The fourth proportional to 192.20, 287.29 and 149 is: 222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.20 : 287.29 = 149 : x
  2. Step 2: Convert to fraction form
    192.20/287.29 = 149/x
  3. Step 3: Cross multiply
    192.20x = 287.29 × 149
  4. Step 4: Simplify right side
    192.20x = 42,806.21
  5. Step 5: Solve for x
    x = 42,806.21/192.20
  6. Step 6: Final answer
    x = 222.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.