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Finding the Fourth Proportional to 92.26, 137.50 and 88.41

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Solution

The fourth proportional to 92.26, 137.50 and 88.41 is: 131.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.26 : 137.50 = 88.41 : x
  2. Step 2: Convert to fraction form
    92.26/137.50 = 88.41/x
  3. Step 3: Cross multiply
    92.26x = 137.50 × 88.41
  4. Step 4: Simplify right side
    92.26x = 12,156.38
  5. Step 5: Solve for x
    x = 12,156.38/92.26
  6. Step 6: Final answer
    x = 131.76

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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.