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Finding the Fourth Proportional to 371.15, 511.81 and 223.80

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Solution

The fourth proportional to 371.15, 511.81 and 223.80 is: 308.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.15 : 511.81 = 223.80 : x
  2. Step 2: Convert to fraction form
    371.15/511.81 = 223.80/x
  3. Step 3: Cross multiply
    371.15x = 511.81 × 223.80
  4. Step 4: Simplify right side
    371.15x = 114,543.08
  5. Step 5: Solve for x
    x = 114,543.08/371.15
  6. Step 6: Final answer
    x = 308.62

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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.