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Finding the Fourth Proportional to 92.25, 137.31 and 85.41

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Solution

The fourth proportional to 92.25, 137.31 and 85.41 is: 127.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.25 : 137.31 = 85.41 : x
  2. Step 2: Convert to fraction form
    92.25/137.31 = 85.41/x
  3. Step 3: Cross multiply
    92.25x = 137.31 × 85.41
  4. Step 4: Simplify right side
    92.25x = 11,727.65
  5. Step 5: Solve for x
    x = 11,727.65/92.25
  6. Step 6: Final answer
    x = 127.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.