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Finding the Fourth Proportional to 380.43, 571.37 and 365.47

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Solution

The fourth proportional to 380.43, 571.37 and 365.47 is: 548.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.43 : 571.37 = 365.47 : x
  2. Step 2: Convert to fraction form
    380.43/571.37 = 365.47/x
  3. Step 3: Cross multiply
    380.43x = 571.37 × 365.47
  4. Step 4: Simplify right side
    380.43x = 208,818.59
  5. Step 5: Solve for x
    x = 208,818.59/380.43
  6. Step 6: Final answer
    x = 548.90

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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.