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Finding the Fourth Proportional to 372.57, 513.97 and 285.09

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Solution

The fourth proportional to 372.57, 513.97 and 285.09 is: 393.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.57 : 513.97 = 285.09 : x
  2. Step 2: Convert to fraction form
    372.57/513.97 = 285.09/x
  3. Step 3: Cross multiply
    372.57x = 513.97 × 285.09
  4. Step 4: Simplify right side
    372.57x = 146,527.71
  5. Step 5: Solve for x
    x = 146,527.71/372.57
  6. Step 6: Final answer
    x = 393.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.