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Finding the Fourth Proportional to 92.24, 127.22 and 55.37

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Solution

The fourth proportional to 92.24, 127.22 and 55.37 is: 76.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.24 : 127.22 = 55.37 : x
  2. Step 2: Convert to fraction form
    92.24/127.22 = 55.37/x
  3. Step 3: Cross multiply
    92.24x = 127.22 × 55.37
  4. Step 4: Simplify right side
    92.24x = 7,043.26
  5. Step 5: Solve for x
    x = 7,043.26/92.24
  6. Step 6: Final answer
    x = 76.36

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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.