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Finding the Fourth Proportional to 90.77, 136.71 and 82.26

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Solution

The fourth proportional to 90.77, 136.71 and 82.26 is: 123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.77 : 136.71 = 82.26 : x
  2. Step 2: Convert to fraction form
    90.77/136.71 = 82.26/x
  3. Step 3: Cross multiply
    90.77x = 136.71 × 82.26
  4. Step 4: Simplify right side
    90.77x = 11,245.76
  5. Step 5: Solve for x
    x = 11,245.76/90.77
  6. Step 6: Final answer
    x = 123.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.