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Finding the Fourth Proportional to 89.28, 134.64 and 83.28

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Solution

The fourth proportional to 89.28, 134.64 and 83.28 is: 125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.28 : 134.64 = 83.28 : x
  2. Step 2: Convert to fraction form
    89.28/134.64 = 83.28/x
  3. Step 3: Cross multiply
    89.28x = 134.64 × 83.28
  4. Step 4: Simplify right side
    89.28x = 11,212.82
  5. Step 5: Solve for x
    x = 11,212.82/89.28
  6. Step 6: Final answer
    x = 125.59

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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.