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Finding the Fourth Proportional to 159, 219.28 and 109.88

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Solution

The fourth proportional to 159, 219.28 and 109.88 is: 151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159 : 219.28 = 109.88 : x
  2. Step 2: Convert to fraction form
    159/219.28 = 109.88/x
  3. Step 3: Cross multiply
    159x = 219.28 × 109.88
  4. Step 4: Simplify right side
    159x = 24,094.49
  5. Step 5: Solve for x
    x = 24,094.49/159
  6. Step 6: Final answer
    x = 151.54

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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.