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Finding the Fourth Proportional to 371.93, 513.09 and 224.47

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Solution

The fourth proportional to 371.93, 513.09 and 224.47 is: 309.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.93 : 513.09 = 224.47 : x
  2. Step 2: Convert to fraction form
    371.93/513.09 = 224.47/x
  3. Step 3: Cross multiply
    371.93x = 513.09 × 224.47
  4. Step 4: Simplify right side
    371.93x = 115,173.95
  5. Step 5: Solve for x
    x = 115,173.95/371.93
  6. Step 6: Final answer
    x = 309.67

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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.