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Finding the Fourth Proportional to 471, 650.12 and 331.16

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Solution

The fourth proportional to 471, 650.12 and 331.16 is: 457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    471 : 650.12 = 331.16 : x
  2. Step 2: Convert to fraction form
    471/650.12 = 331.16/x
  3. Step 3: Cross multiply
    471x = 650.12 × 331.16
  4. Step 4: Simplify right side
    471x = 215,293.74
  5. Step 5: Solve for x
    x = 215,293.74/471
  6. Step 6: Final answer
    x = 457.10

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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.