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Finding the Fourth Proportional to 169.48, 252.41 and 165.22

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Solution

The fourth proportional to 169.48, 252.41 and 165.22 is: 246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.48 : 252.41 = 165.22 : x
  2. Step 2: Convert to fraction form
    169.48/252.41 = 165.22/x
  3. Step 3: Cross multiply
    169.48x = 252.41 × 165.22
  4. Step 4: Simplify right side
    169.48x = 41,703.18
  5. Step 5: Solve for x
    x = 41,703.18/169.48
  6. Step 6: Final answer
    x = 246.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.