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Finding the Fourth Proportional to 159.61, 220.28 and 97.46

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Solution

The fourth proportional to 159.61, 220.28 and 97.46 is: 134.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.61 : 220.28 = 97.46 : x
  2. Step 2: Convert to fraction form
    159.61/220.28 = 97.46/x
  3. Step 3: Cross multiply
    159.61x = 220.28 × 97.46
  4. Step 4: Simplify right side
    159.61x = 21,468.49
  5. Step 5: Solve for x
    x = 21,468.49/159.61
  6. Step 6: Final answer
    x = 134.51

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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.