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Finding the Fourth Proportional to 385.26, 531.34 and 343.27

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Solution

The fourth proportional to 385.26, 531.34 and 343.27 is: 473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.26 : 531.34 = 343.27 : x
  2. Step 2: Convert to fraction form
    385.26/531.34 = 343.27/x
  3. Step 3: Cross multiply
    385.26x = 531.34 × 343.27
  4. Step 4: Simplify right side
    385.26x = 182,393.08
  5. Step 5: Solve for x
    x = 182,393.08/385.26
  6. Step 6: Final answer
    x = 473.43

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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.