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Finding the Fourth Proportional to 90.26, 134.63 and 75.64

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Solution

The fourth proportional to 90.26, 134.63 and 75.64 is: 112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.26 : 134.63 = 75.64 : x
  2. Step 2: Convert to fraction form
    90.26/134.63 = 75.64/x
  3. Step 3: Cross multiply
    90.26x = 134.63 × 75.64
  4. Step 4: Simplify right side
    90.26x = 10,183.46
  5. Step 5: Solve for x
    x = 10,183.46/90.26
  6. Step 6: Final answer
    x = 112.83

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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.