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Finding the Fourth Proportional to 159.93, 220.61 and 97.72

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Solution

The fourth proportional to 159.93, 220.61 and 97.72 is: 134.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.93 : 220.61 = 97.72 : x
  2. Step 2: Convert to fraction form
    159.93/220.61 = 97.72/x
  3. Step 3: Cross multiply
    159.93x = 220.61 × 97.72
  4. Step 4: Simplify right side
    159.93x = 21,557.70
  5. Step 5: Solve for x
    x = 21,557.70/159.93
  6. Step 6: Final answer
    x = 134.79

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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.