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Finding the Fourth Proportional to 351.29, 484.17 and 311.06

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Solution

The fourth proportional to 351.29, 484.17 and 311.06 is: 428.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.29 : 484.17 = 311.06 : x
  2. Step 2: Convert to fraction form
    351.29/484.17 = 311.06/x
  3. Step 3: Cross multiply
    351.29x = 484.17 × 311.06
  4. Step 4: Simplify right side
    351.29x = 150,605.92
  5. Step 5: Solve for x
    x = 150,605.92/351.29
  6. Step 6: Final answer
    x = 428.72

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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.