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Finding the Fourth Proportional to 169.09, 253.85 and 168.31

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Solution

The fourth proportional to 169.09, 253.85 and 168.31 is: 252.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.09 : 253.85 = 168.31 : x
  2. Step 2: Convert to fraction form
    169.09/253.85 = 168.31/x
  3. Step 3: Cross multiply
    169.09x = 253.85 × 168.31
  4. Step 4: Simplify right side
    169.09x = 42,724.65
  5. Step 5: Solve for x
    x = 42,724.65/169.09
  6. Step 6: Final answer
    x = 252.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.