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Finding the Fourth Proportional to 471.41, 650.49 and 261.53

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Solution

The fourth proportional to 471.41, 650.49 and 261.53 is: 360.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.41 : 650.49 = 261.53 : x
  2. Step 2: Convert to fraction form
    471.41/650.49 = 261.53/x
  3. Step 3: Cross multiply
    471.41x = 650.49 × 261.53
  4. Step 4: Simplify right side
    471.41x = 170,121.59
  5. Step 5: Solve for x
    x = 170,121.59/471.41
  6. Step 6: Final answer
    x = 360.88

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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.