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Finding the Fourth Proportional to 371.80, 560.22 and 308.21

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Solution

The fourth proportional to 371.80, 560.22 and 308.21 is: 464.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.80 : 560.22 = 308.21 : x
  2. Step 2: Convert to fraction form
    371.80/560.22 = 308.21/x
  3. Step 3: Cross multiply
    371.80x = 560.22 × 308.21
  4. Step 4: Simplify right side
    371.80x = 172,665.41
  5. Step 5: Solve for x
    x = 172,665.41/371.80
  6. Step 6: Final answer
    x = 464.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.