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Finding the Fourth Proportional to 159.54, 220.17 and 97.37

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Solution

The fourth proportional to 159.54, 220.17 and 97.37 is: 134.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.54 : 220.17 = 97.37 : x
  2. Step 2: Convert to fraction form
    159.54/220.17 = 97.37/x
  3. Step 3: Cross multiply
    159.54x = 220.17 × 97.37
  4. Step 4: Simplify right side
    159.54x = 21,437.95
  5. Step 5: Solve for x
    x = 21,437.95/159.54
  6. Step 6: Final answer
    x = 134.37

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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.