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Finding the Fourth Proportional to 159.54, 221.78 and 158.82

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Solution

The fourth proportional to 159.54, 221.78 and 158.82 is: 220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.54 : 221.78 = 158.82 : x
  2. Step 2: Convert to fraction form
    159.54/221.78 = 158.82/x
  3. Step 3: Cross multiply
    159.54x = 221.78 × 158.82
  4. Step 4: Simplify right side
    159.54x = 35,222.31
  5. Step 5: Solve for x
    x = 35,222.31/159.54
  6. Step 6: Final answer
    x = 220.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.