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Finding the Fourth Proportional to 471.25, 649.90 and 305.30

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Solution

The fourth proportional to 471.25, 649.90 and 305.30 is: 421.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.25 : 649.90 = 305.30 : x
  2. Step 2: Convert to fraction form
    471.25/649.90 = 305.30/x
  3. Step 3: Cross multiply
    471.25x = 649.90 × 305.30
  4. Step 4: Simplify right side
    471.25x = 198,414.47
  5. Step 5: Solve for x
    x = 198,414.47/471.25
  6. Step 6: Final answer
    x = 421.04

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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.