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Finding the Fourth Proportional to 401.35, 601.81 and 141.27

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Solution

The fourth proportional to 401.35, 601.81 and 141.27 is: 211.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.35 : 601.81 = 141.27 : x
  2. Step 2: Convert to fraction form
    401.35/601.81 = 141.27/x
  3. Step 3: Cross multiply
    401.35x = 601.81 × 141.27
  4. Step 4: Simplify right side
    401.35x = 85,017.70
  5. Step 5: Solve for x
    x = 85,017.70/401.35
  6. Step 6: Final answer
    x = 211.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.