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Finding the Fourth Proportional to 343.44, 517.67 and 314.22

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Solution

The fourth proportional to 343.44, 517.67 and 314.22 is: 473.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.44 : 517.67 = 314.22 : x
  2. Step 2: Convert to fraction form
    343.44/517.67 = 314.22/x
  3. Step 3: Cross multiply
    343.44x = 517.67 × 314.22
  4. Step 4: Simplify right side
    343.44x = 162,662.27
  5. Step 5: Solve for x
    x = 162,662.27/343.44
  6. Step 6: Final answer
    x = 473.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.