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Finding the Fourth Proportional to 471.16, 650.18 and 261.31

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Solution

The fourth proportional to 471.16, 650.18 and 261.31 is: 360.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.16 : 650.18 = 261.31 : x
  2. Step 2: Convert to fraction form
    471.16/650.18 = 261.31/x
  3. Step 3: Cross multiply
    471.16x = 650.18 × 261.31
  4. Step 4: Simplify right side
    471.16x = 169,893.98
  5. Step 5: Solve for x
    x = 169,893.98/471.16
  6. Step 6: Final answer
    x = 360.59

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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.