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Finding the Fourth Proportional to 195.76, 270.66 and 163

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Solution

The fourth proportional to 195.76, 270.66 and 163 is: 225.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.76 : 270.66 = 163 : x
  2. Step 2: Convert to fraction form
    195.76/270.66 = 163/x
  3. Step 3: Cross multiply
    195.76x = 270.66 × 163
  4. Step 4: Simplify right side
    195.76x = 44,117.58
  5. Step 5: Solve for x
    x = 44,117.58/195.76
  6. Step 6: Final answer
    x = 225.37

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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.