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Finding the Fourth Proportional to 380.41, 570.22 and 243.55

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Solution

The fourth proportional to 380.41, 570.22 and 243.55 is: 365.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.41 : 570.22 = 243.55 : x
  2. Step 2: Convert to fraction form
    380.41/570.22 = 243.55/x
  3. Step 3: Cross multiply
    380.41x = 570.22 × 243.55
  4. Step 4: Simplify right side
    380.41x = 138,874.23
  5. Step 5: Solve for x
    x = 138,874.23/380.41
  6. Step 6: Final answer
    x = 365.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.