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Finding the Fourth Proportional to 401.43, 553.28 and 331.06

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Solution

The fourth proportional to 401.43, 553.28 and 331.06 is: 456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.43 : 553.28 = 331.06 : x
  2. Step 2: Convert to fraction form
    401.43/553.28 = 331.06/x
  3. Step 3: Cross multiply
    401.43x = 553.28 × 331.06
  4. Step 4: Simplify right side
    401.43x = 183,167.22
  5. Step 5: Solve for x
    x = 183,167.22/401.43
  6. Step 6: Final answer
    x = 456.29

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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.