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Finding the Fourth Proportional to 471.31, 650.48 and 274.79

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Solution

The fourth proportional to 471.31, 650.48 and 274.79 is: 379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.31 : 650.48 = 274.79 : x
  2. Step 2: Convert to fraction form
    471.31/650.48 = 274.79/x
  3. Step 3: Cross multiply
    471.31x = 650.48 × 274.79
  4. Step 4: Simplify right side
    471.31x = 178,745.65
  5. Step 5: Solve for x
    x = 178,745.65/471.31
  6. Step 6: Final answer
    x = 379.25

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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.