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Finding the Fourth Proportional to 371.54, 512.94 and 322.94

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Solution

The fourth proportional to 371.54, 512.94 and 322.94 is: 445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.54 : 512.94 = 322.94 : x
  2. Step 2: Convert to fraction form
    371.54/512.94 = 322.94/x
  3. Step 3: Cross multiply
    371.54x = 512.94 × 322.94
  4. Step 4: Simplify right side
    371.54x = 165,648.84
  5. Step 5: Solve for x
    x = 165,648.84/371.54
  6. Step 6: Final answer
    x = 445.84

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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.