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Finding the Fourth Proportional to 159.67, 220.38 and 97.51

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Solution

The fourth proportional to 159.67, 220.38 and 97.51 is: 134.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.67 : 220.38 = 97.51 : x
  2. Step 2: Convert to fraction form
    159.67/220.38 = 97.51/x
  3. Step 3: Cross multiply
    159.67x = 220.38 × 97.51
  4. Step 4: Simplify right side
    159.67x = 21,489.25
  5. Step 5: Solve for x
    x = 21,489.25/159.67
  6. Step 6: Final answer
    x = 134.59

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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.