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Finding the Fourth Proportional to 159.92, 219.76 and 155.60

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Solution

The fourth proportional to 159.92, 219.76 and 155.60 is: 213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.92 : 219.76 = 155.60 : x
  2. Step 2: Convert to fraction form
    159.92/219.76 = 155.60/x
  3. Step 3: Cross multiply
    159.92x = 219.76 × 155.60
  4. Step 4: Simplify right side
    159.92x = 34,194.66
  5. Step 5: Solve for x
    x = 34,194.66/159.92
  6. Step 6: Final answer
    x = 213.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.