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Finding the Fourth Proportional to 385.74, 575.42 and 371.97

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Solution

The fourth proportional to 385.74, 575.42 and 371.97 is: 554.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.74 : 575.42 = 371.97 : x
  2. Step 2: Convert to fraction form
    385.74/575.42 = 371.97/x
  3. Step 3: Cross multiply
    385.74x = 575.42 × 371.97
  4. Step 4: Simplify right side
    385.74x = 214,037.12
  5. Step 5: Solve for x
    x = 214,037.12/385.74
  6. Step 6: Final answer
    x = 554.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.