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Finding the Fourth Proportional to 371.38, 511.21 and 321.56

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Solution

The fourth proportional to 371.38, 511.21 and 321.56 is: 442.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.38 : 511.21 = 321.56 : x
  2. Step 2: Convert to fraction form
    371.38/511.21 = 321.56/x
  3. Step 3: Cross multiply
    371.38x = 511.21 × 321.56
  4. Step 4: Simplify right side
    371.38x = 164,384.69
  5. Step 5: Solve for x
    x = 164,384.69/371.38
  6. Step 6: Final answer
    x = 442.63

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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.