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Finding the Fourth Proportional to 371.93, 514 and 305.44

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Solution

The fourth proportional to 371.93, 514 and 305.44 is: 422.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.93 : 514 = 305.44 : x
  2. Step 2: Convert to fraction form
    371.93/514 = 305.44/x
  3. Step 3: Cross multiply
    371.93x = 514 × 305.44
  4. Step 4: Simplify right side
    371.93x = 156,996.16
  5. Step 5: Solve for x
    x = 156,996.16/371.93
  6. Step 6: Final answer
    x = 422.11

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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.