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Finding the Fourth Proportional to 169.47, 253.83 and 111.48

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Solution

The fourth proportional to 169.47, 253.83 and 111.48 is: 166.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.47 : 253.83 = 111.48 : x
  2. Step 2: Convert to fraction form
    169.47/253.83 = 111.48/x
  3. Step 3: Cross multiply
    169.47x = 253.83 × 111.48
  4. Step 4: Simplify right side
    169.47x = 28,296.97
  5. Step 5: Solve for x
    x = 28,296.97/169.47
  6. Step 6: Final answer
    x = 166.97

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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.