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Finding the Fourth Proportional to 471.25, 650.29 and 261.42

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Solution

The fourth proportional to 471.25, 650.29 and 261.42 is: 360.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.25 : 650.29 = 261.42 : x
  2. Step 2: Convert to fraction form
    471.25/650.29 = 261.42/x
  3. Step 3: Cross multiply
    471.25x = 650.29 × 261.42
  4. Step 4: Simplify right side
    471.25x = 169,997.55
  5. Step 5: Solve for x
    x = 169,997.55/471.25
  6. Step 6: Final answer
    x = 360.74

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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.