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Finding the Fourth Proportional to 105.28, 157.96 and 51.18

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Solution

The fourth proportional to 105.28, 157.96 and 51.18 is: 76.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.28 : 157.96 = 51.18 : x
  2. Step 2: Convert to fraction form
    105.28/157.96 = 51.18/x
  3. Step 3: Cross multiply
    105.28x = 157.96 × 51.18
  4. Step 4: Simplify right side
    105.28x = 8,084.39
  5. Step 5: Solve for x
    x = 8,084.39/105.28
  6. Step 6: Final answer
    x = 76.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.