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Finding the Fourth Proportional to 159.60, 220.34 and 109.88

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Solution

The fourth proportional to 159.60, 220.34 and 109.88 is: 151.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.60 : 220.34 = 109.88 : x
  2. Step 2: Convert to fraction form
    159.60/220.34 = 109.88/x
  3. Step 3: Cross multiply
    159.60x = 220.34 × 109.88
  4. Step 4: Simplify right side
    159.60x = 24,210.96
  5. Step 5: Solve for x
    x = 24,210.96/159.60
  6. Step 6: Final answer
    x = 151.70

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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.