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Finding the Fourth Proportional to 380.52, 573.12 and 347.22

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Solution

The fourth proportional to 380.52, 573.12 and 347.22 is: 522.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.52 : 573.12 = 347.22 : x
  2. Step 2: Convert to fraction form
    380.52/573.12 = 347.22/x
  3. Step 3: Cross multiply
    380.52x = 573.12 × 347.22
  4. Step 4: Simplify right side
    380.52x = 198,998.73
  5. Step 5: Solve for x
    x = 198,998.73/380.52
  6. Step 6: Final answer
    x = 522.97

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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.