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Finding the Fourth Proportional to 378.47, 523.11 and 349.31

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Solution

The fourth proportional to 378.47, 523.11 and 349.31 is: 482.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.47 : 523.11 = 349.31 : x
  2. Step 2: Convert to fraction form
    378.47/523.11 = 349.31/x
  3. Step 3: Cross multiply
    378.47x = 523.11 × 349.31
  4. Step 4: Simplify right side
    378.47x = 182,727.55
  5. Step 5: Solve for x
    x = 182,727.55/378.47
  6. Step 6: Final answer
    x = 482.81

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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.