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Finding the Fourth Proportional to 142.24, 196.48 and 127.68

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Solution

The fourth proportional to 142.24, 196.48 and 127.68 is: 176.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.24 : 196.48 = 127.68 : x
  2. Step 2: Convert to fraction form
    142.24/196.48 = 127.68/x
  3. Step 3: Cross multiply
    142.24x = 196.48 × 127.68
  4. Step 4: Simplify right side
    142.24x = 25,086.57
  5. Step 5: Solve for x
    x = 25,086.57/142.24
  6. Step 6: Final answer
    x = 176.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.