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Finding the Fourth Proportional to 90.64, 135.20 and 80.48

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Solution

The fourth proportional to 90.64, 135.20 and 80.48 is: 120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.64 : 135.20 = 80.48 : x
  2. Step 2: Convert to fraction form
    90.64/135.20 = 80.48/x
  3. Step 3: Cross multiply
    90.64x = 135.20 × 80.48
  4. Step 4: Simplify right side
    90.64x = 10,880.90
  5. Step 5: Solve for x
    x = 10,880.90/90.64
  6. Step 6: Final answer
    x = 120.05

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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.