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Finding the Fourth Proportional to 192.47, 287.43 and 168.17

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Solution

The fourth proportional to 192.47, 287.43 and 168.17 is: 251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.47 : 287.43 = 168.17 : x
  2. Step 2: Convert to fraction form
    192.47/287.43 = 168.17/x
  3. Step 3: Cross multiply
    192.47x = 287.43 × 168.17
  4. Step 4: Simplify right side
    192.47x = 48,337.10
  5. Step 5: Solve for x
    x = 48,337.10/192.47
  6. Step 6: Final answer
    x = 251.14

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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.