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Finding the Fourth Proportional to 92.24, 127.28 and 77.68

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Solution

The fourth proportional to 92.24, 127.28 and 77.68 is: 107.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.24 : 127.28 = 77.68 : x
  2. Step 2: Convert to fraction form
    92.24/127.28 = 77.68/x
  3. Step 3: Cross multiply
    92.24x = 127.28 × 77.68
  4. Step 4: Simplify right side
    92.24x = 9,887.11
  5. Step 5: Solve for x
    x = 9,887.11/92.24
  6. Step 6: Final answer
    x = 107.19

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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.