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Finding the Fourth Proportional to 192.53, 287.67 and 140.22

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Solution

The fourth proportional to 192.53, 287.67 and 140.22 is: 209.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.53 : 287.67 = 140.22 : x
  2. Step 2: Convert to fraction form
    192.53/287.67 = 140.22/x
  3. Step 3: Cross multiply
    192.53x = 287.67 × 140.22
  4. Step 4: Simplify right side
    192.53x = 40,337.09
  5. Step 5: Solve for x
    x = 40,337.09/192.53
  6. Step 6: Final answer
    x = 209.51

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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.