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Finding the Fourth Proportional to 401.31, 553.81 and 217.31

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Solution

The fourth proportional to 401.31, 553.81 and 217.31 is: 299.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.31 : 553.81 = 217.31 : x
  2. Step 2: Convert to fraction form
    401.31/553.81 = 217.31/x
  3. Step 3: Cross multiply
    401.31x = 553.81 × 217.31
  4. Step 4: Simplify right side
    401.31x = 120,348.45
  5. Step 5: Solve for x
    x = 120,348.45/401.31
  6. Step 6: Final answer
    x = 299.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.