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Finding the Fourth Proportional to 92.20, 137.57 and 90.28

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Solution

The fourth proportional to 92.20, 137.57 and 90.28 is: 134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.20 : 137.57 = 90.28 : x
  2. Step 2: Convert to fraction form
    92.20/137.57 = 90.28/x
  3. Step 3: Cross multiply
    92.20x = 137.57 × 90.28
  4. Step 4: Simplify right side
    92.20x = 12,419.82
  5. Step 5: Solve for x
    x = 12,419.82/92.20
  6. Step 6: Final answer
    x = 134.71

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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.