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Finding the Fourth Proportional to 371.49, 511.82 and 301.52

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Solution

The fourth proportional to 371.49, 511.82 and 301.52 is: 415.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.49 : 511.82 = 301.52 : x
  2. Step 2: Convert to fraction form
    371.49/511.82 = 301.52/x
  3. Step 3: Cross multiply
    371.49x = 511.82 × 301.52
  4. Step 4: Simplify right side
    371.49x = 154,324.87
  5. Step 5: Solve for x
    x = 154,324.87/371.49
  6. Step 6: Final answer
    x = 415.43

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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.