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Finding the Fourth Proportional to 471.64, 650.90 and 261.85

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Solution

The fourth proportional to 471.64, 650.90 and 261.85 is: 361.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.64 : 650.90 = 261.85 : x
  2. Step 2: Convert to fraction form
    471.64/650.90 = 261.85/x
  3. Step 3: Cross multiply
    471.64x = 650.90 × 261.85
  4. Step 4: Simplify right side
    471.64x = 170,438.17
  5. Step 5: Solve for x
    x = 170,438.17/471.64
  6. Step 6: Final answer
    x = 361.37

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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.