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Finding the Fourth Proportional to 169.04, 252.63 and 123.08

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Solution

The fourth proportional to 169.04, 252.63 and 123.08 is: 183.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.04 : 252.63 = 123.08 : x
  2. Step 2: Convert to fraction form
    169.04/252.63 = 123.08/x
  3. Step 3: Cross multiply
    169.04x = 252.63 × 123.08
  4. Step 4: Simplify right side
    169.04x = 31,093.70
  5. Step 5: Solve for x
    x = 31,093.70/169.04
  6. Step 6: Final answer
    x = 183.94

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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.