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Finding the Fourth Proportional to 552.25, 762.11 and 319.39

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Solution

The fourth proportional to 552.25, 762.11 and 319.39 is: 440.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.25 : 762.11 = 319.39 : x
  2. Step 2: Convert to fraction form
    552.25/762.11 = 319.39/x
  3. Step 3: Cross multiply
    552.25x = 762.11 × 319.39
  4. Step 4: Simplify right side
    552.25x = 243,408.72
  5. Step 5: Solve for x
    x = 243,408.72/552.25
  6. Step 6: Final answer
    x = 440.76

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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.