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Finding the Fourth Proportional to 169.74, 235.62 and 158.94

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Solution

The fourth proportional to 169.74, 235.62 and 158.94 is: 220.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.74 : 235.62 = 158.94 : x
  2. Step 2: Convert to fraction form
    169.74/235.62 = 158.94/x
  3. Step 3: Cross multiply
    169.74x = 235.62 × 158.94
  4. Step 4: Simplify right side
    169.74x = 37,449.44
  5. Step 5: Solve for x
    x = 37,449.44/169.74
  6. Step 6: Final answer
    x = 220.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.