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Finding the Fourth Proportional to 151.36, 208.84 and 96.18

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Solution

The fourth proportional to 151.36, 208.84 and 96.18 is: 132.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.36 : 208.84 = 96.18 : x
  2. Step 2: Convert to fraction form
    151.36/208.84 = 96.18/x
  3. Step 3: Cross multiply
    151.36x = 208.84 × 96.18
  4. Step 4: Simplify right side
    151.36x = 20,086.23
  5. Step 5: Solve for x
    x = 20,086.23/151.36
  6. Step 6: Final answer
    x = 132.71

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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.