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Finding the Fourth Proportional to 401.34, 601.94 and 154.42

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Solution

The fourth proportional to 401.34, 601.94 and 154.42 is: 231.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.34 : 601.94 = 154.42 : x
  2. Step 2: Convert to fraction form
    401.34/601.94 = 154.42/x
  3. Step 3: Cross multiply
    401.34x = 601.94 × 154.42
  4. Step 4: Simplify right side
    401.34x = 92,952.97
  5. Step 5: Solve for x
    x = 92,952.97/401.34
  6. Step 6: Final answer
    x = 231.61

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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.