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Finding the Fourth Proportional to 371.92, 513.16 and 261.84

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Solution

The fourth proportional to 371.92, 513.16 and 261.84 is: 361.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.92 : 513.16 = 261.84 : x
  2. Step 2: Convert to fraction form
    371.92/513.16 = 261.84/x
  3. Step 3: Cross multiply
    371.92x = 513.16 × 261.84
  4. Step 4: Simplify right side
    371.92x = 134,365.81
  5. Step 5: Solve for x
    x = 134,365.81/371.92
  6. Step 6: Final answer
    x = 361.28

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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.