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Finding the Fourth Proportional to 159.21, 219.44 and 129.60

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Solution

The fourth proportional to 159.21, 219.44 and 129.60 is: 178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.21 : 219.44 = 129.60 : x
  2. Step 2: Convert to fraction form
    159.21/219.44 = 129.60/x
  3. Step 3: Cross multiply
    159.21x = 219.44 × 129.60
  4. Step 4: Simplify right side
    159.21x = 28,439.75
  5. Step 5: Solve for x
    x = 28,439.75/159.21
  6. Step 6: Final answer
    x = 178.63

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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.