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Finding the Fourth Proportional to 159.85, 220.53 and 97.65

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Solution

The fourth proportional to 159.85, 220.53 and 97.65 is: 134.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.85 : 220.53 = 97.65 : x
  2. Step 2: Convert to fraction form
    159.85/220.53 = 97.65/x
  3. Step 3: Cross multiply
    159.85x = 220.53 × 97.65
  4. Step 4: Simplify right side
    159.85x = 21,534.75
  5. Step 5: Solve for x
    x = 21,534.75/159.85
  6. Step 6: Final answer
    x = 134.72

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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.