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Finding the Fourth Proportional to 418.94, 575.03 and 371.27

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Solution

The fourth proportional to 418.94, 575.03 and 371.27 is: 509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.94 : 575.03 = 371.27 : x
  2. Step 2: Convert to fraction form
    418.94/575.03 = 371.27/x
  3. Step 3: Cross multiply
    418.94x = 575.03 × 371.27
  4. Step 4: Simplify right side
    418.94x = 213,489.44
  5. Step 5: Solve for x
    x = 213,489.44/418.94
  6. Step 6: Final answer
    x = 509.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.