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Finding the Fourth Proportional to 371.04, 512 and 215.76

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Solution

The fourth proportional to 371.04, 512 and 215.76 is: 297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.04 : 512 = 215.76 : x
  2. Step 2: Convert to fraction form
    371.04/512 = 215.76/x
  3. Step 3: Cross multiply
    371.04x = 512 × 215.76
  4. Step 4: Simplify right side
    371.04x = 110,469.12
  5. Step 5: Solve for x
    x = 110,469.12/371.04
  6. Step 6: Final answer
    x = 297.73

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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.