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Finding the Fourth Proportional to 92.80, 127.92 and 75.34

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Solution

The fourth proportional to 92.80, 127.92 and 75.34 is: 103.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.80 : 127.92 = 75.34 : x
  2. Step 2: Convert to fraction form
    92.80/127.92 = 75.34/x
  3. Step 3: Cross multiply
    92.80x = 127.92 × 75.34
  4. Step 4: Simplify right side
    92.80x = 9,637.49
  5. Step 5: Solve for x
    x = 9,637.49/92.80
  6. Step 6: Final answer
    x = 103.85

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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.