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Finding the Fourth Proportional to 109.28, 150.64 and 76.48

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Solution

The fourth proportional to 109.28, 150.64 and 76.48 is: 105.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.28 : 150.64 = 76.48 : x
  2. Step 2: Convert to fraction form
    109.28/150.64 = 76.48/x
  3. Step 3: Cross multiply
    109.28x = 150.64 × 76.48
  4. Step 4: Simplify right side
    109.28x = 11,520.95
  5. Step 5: Solve for x
    x = 11,520.95/109.28
  6. Step 6: Final answer
    x = 105.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.