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Finding the Fourth Proportional to 371.05, 512.09 and 215.80

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Solution

The fourth proportional to 371.05, 512.09 and 215.80 is: 297.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.05 : 512.09 = 215.80 : x
  2. Step 2: Convert to fraction form
    371.05/512.09 = 215.80/x
  3. Step 3: Cross multiply
    371.05x = 512.09 × 215.80
  4. Step 4: Simplify right side
    371.05x = 110,506.46
  5. Step 5: Solve for x
    x = 110,506.46/371.05
  6. Step 6: Final answer
    x = 297.82

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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.