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Finding the Fourth Proportional to 471.62, 650.80 and 306.15

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Solution

The fourth proportional to 471.62, 650.80 and 306.15 is: 422.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.62 : 650.80 = 306.15 : x
  2. Step 2: Convert to fraction form
    471.62/650.80 = 306.15/x
  3. Step 3: Cross multiply
    471.62x = 650.80 × 306.15
  4. Step 4: Simplify right side
    471.62x = 199,240.36
  5. Step 5: Solve for x
    x = 199,240.36/471.62
  6. Step 6: Final answer
    x = 422.46

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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.