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Finding the Fourth Proportional to 169.56, 234.02 and 99.62

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Solution

The fourth proportional to 169.56, 234.02 and 99.62 is: 137.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.56 : 234.02 = 99.62 : x
  2. Step 2: Convert to fraction form
    169.56/234.02 = 99.62/x
  3. Step 3: Cross multiply
    169.56x = 234.02 × 99.62
  4. Step 4: Simplify right side
    169.56x = 23,313.07
  5. Step 5: Solve for x
    x = 23,313.07/169.56
  6. Step 6: Final answer
    x = 137.49

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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.