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Finding the Fourth Proportional to 426.74, 639.84 and 166.58

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Solution

The fourth proportional to 426.74, 639.84 and 166.58 is: 249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.74 : 639.84 = 166.58 : x
  2. Step 2: Convert to fraction form
    426.74/639.84 = 166.58/x
  3. Step 3: Cross multiply
    426.74x = 639.84 × 166.58
  4. Step 4: Simplify right side
    426.74x = 106,584.55
  5. Step 5: Solve for x
    x = 106,584.55/426.74
  6. Step 6: Final answer
    x = 249.76

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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.