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Finding the Fourth Proportional to 372.21, 513.69 and 224.93

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Solution

The fourth proportional to 372.21, 513.69 and 224.93 is: 310.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.21 : 513.69 = 224.93 : x
  2. Step 2: Convert to fraction form
    372.21/513.69 = 224.93/x
  3. Step 3: Cross multiply
    372.21x = 513.69 × 224.93
  4. Step 4: Simplify right side
    372.21x = 115,544.29
  5. Step 5: Solve for x
    x = 115,544.29/372.21
  6. Step 6: Final answer
    x = 310.43

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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.