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Finding the Fourth Proportional to 401.25, 601.90 and 112.71

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Solution

The fourth proportional to 401.25, 601.90 and 112.71 is: 169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.25 : 601.90 = 112.71 : x
  2. Step 2: Convert to fraction form
    401.25/601.90 = 112.71/x
  3. Step 3: Cross multiply
    401.25x = 601.90 × 112.71
  4. Step 4: Simplify right side
    401.25x = 67,839.87
  5. Step 5: Solve for x
    x = 67,839.87/401.25
  6. Step 6: Final answer
    x = 169.07

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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.