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Finding the Fourth Proportional to 351.59, 484.09 and 319.19

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Solution

The fourth proportional to 351.59, 484.09 and 319.19 is: 439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.59 : 484.09 = 319.19 : x
  2. Step 2: Convert to fraction form
    351.59/484.09 = 319.19/x
  3. Step 3: Cross multiply
    351.59x = 484.09 × 319.19
  4. Step 4: Simplify right side
    351.59x = 154,516.69
  5. Step 5: Solve for x
    x = 154,516.69/351.59
  6. Step 6: Final answer
    x = 439.48

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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.