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Finding the Fourth Proportional to 372.71, 559.15 and 199.49

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Solution

The fourth proportional to 372.71, 559.15 and 199.49 is: 299.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.71 : 559.15 = 199.49 : x
  2. Step 2: Convert to fraction form
    372.71/559.15 = 199.49/x
  3. Step 3: Cross multiply
    372.71x = 559.15 × 199.49
  4. Step 4: Simplify right side
    372.71x = 111,544.83
  5. Step 5: Solve for x
    x = 111,544.83/372.71
  6. Step 6: Final answer
    x = 299.28

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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.