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Finding the Fourth Proportional to 371.15, 511.86 and 223.74

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Solution

The fourth proportional to 371.15, 511.86 and 223.74 is: 308.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.15 : 511.86 = 223.74 : x
  2. Step 2: Convert to fraction form
    371.15/511.86 = 223.74/x
  3. Step 3: Cross multiply
    371.15x = 511.86 × 223.74
  4. Step 4: Simplify right side
    371.15x = 114,523.56
  5. Step 5: Solve for x
    x = 114,523.56/371.15
  6. Step 6: Final answer
    x = 308.57

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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.