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Finding the Fourth Proportional to 159.28, 219.72 and 107.56

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Solution

The fourth proportional to 159.28, 219.72 and 107.56 is: 148.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.28 : 219.72 = 107.56 : x
  2. Step 2: Convert to fraction form
    159.28/219.72 = 107.56/x
  3. Step 3: Cross multiply
    159.28x = 219.72 × 107.56
  4. Step 4: Simplify right side
    159.28x = 23,633.08
  5. Step 5: Solve for x
    x = 23,633.08/159.28
  6. Step 6: Final answer
    x = 148.37

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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.