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Finding the Fourth Proportional to 169.78, 234.35 and 99.84

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Solution

The fourth proportional to 169.78, 234.35 and 99.84 is: 137.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.78 : 234.35 = 99.84 : x
  2. Step 2: Convert to fraction form
    169.78/234.35 = 99.84/x
  3. Step 3: Cross multiply
    169.78x = 234.35 × 99.84
  4. Step 4: Simplify right side
    169.78x = 23,396.21
  5. Step 5: Solve for x
    x = 23,396.21/169.78
  6. Step 6: Final answer
    x = 137.81

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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.