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Finding the Fourth Proportional to 371.70, 512.77 and 261.31

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Solution

The fourth proportional to 371.70, 512.77 and 261.31 is: 360.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.70 : 512.77 = 261.31 : x
  2. Step 2: Convert to fraction form
    371.70/512.77 = 261.31/x
  3. Step 3: Cross multiply
    371.70x = 512.77 × 261.31
  4. Step 4: Simplify right side
    371.70x = 133,991.93
  5. Step 5: Solve for x
    x = 133,991.93/371.70
  6. Step 6: Final answer
    x = 360.48

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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.