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Finding the Fourth Proportional to 471.22, 649.71 and 294.12

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Solution

The fourth proportional to 471.22, 649.71 and 294.12 is: 405.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.22 : 649.71 = 294.12 : x
  2. Step 2: Convert to fraction form
    471.22/649.71 = 294.12/x
  3. Step 3: Cross multiply
    471.22x = 649.71 × 294.12
  4. Step 4: Simplify right side
    471.22x = 191,092.71
  5. Step 5: Solve for x
    x = 191,092.71/471.22
  6. Step 6: Final answer
    x = 405.53

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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.