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Finding the Fourth Proportional to 402.26, 553.82 and 350.48

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Solution

The fourth proportional to 402.26, 553.82 and 350.48 is: 482.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.26 : 553.82 = 350.48 : x
  2. Step 2: Convert to fraction form
    402.26/553.82 = 350.48/x
  3. Step 3: Cross multiply
    402.26x = 553.82 × 350.48
  4. Step 4: Simplify right side
    402.26x = 194,098.31
  5. Step 5: Solve for x
    x = 194,098.31/402.26
  6. Step 6: Final answer
    x = 482.53

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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.