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Finding the Fourth Proportional to 169.24, 252.83 and 155.56

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Solution

The fourth proportional to 169.24, 252.83 and 155.56 is: 232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.24 : 252.83 = 155.56 : x
  2. Step 2: Convert to fraction form
    169.24/252.83 = 155.56/x
  3. Step 3: Cross multiply
    169.24x = 252.83 × 155.56
  4. Step 4: Simplify right side
    169.24x = 39,330.23
  5. Step 5: Solve for x
    x = 39,330.23/169.24
  6. Step 6: Final answer
    x = 232.39

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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.