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Finding the Fourth Proportional to 192.24, 287.99 and 140.29

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Solution

The fourth proportional to 192.24, 287.99 and 140.29 is: 210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.24 : 287.99 = 140.29 : x
  2. Step 2: Convert to fraction form
    192.24/287.99 = 140.29/x
  3. Step 3: Cross multiply
    192.24x = 287.99 × 140.29
  4. Step 4: Simplify right side
    192.24x = 40,402.47
  5. Step 5: Solve for x
    x = 40,402.47/192.24
  6. Step 6: Final answer
    x = 210.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.