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Finding the Fourth Proportional to 89.28, 133.34 and 75.60

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Solution

The fourth proportional to 89.28, 133.34 and 75.60 is: 112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.28 : 133.34 = 75.60 : x
  2. Step 2: Convert to fraction form
    89.28/133.34 = 75.60/x
  3. Step 3: Cross multiply
    89.28x = 133.34 × 75.60
  4. Step 4: Simplify right side
    89.28x = 10,080.50
  5. Step 5: Solve for x
    x = 10,080.50/89.28
  6. Step 6: Final answer
    x = 112.91

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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.