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Finding the Fourth Proportional to 477.49, 716.12 and 213.97

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Solution

The fourth proportional to 477.49, 716.12 and 213.97 is: 320.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.49 : 716.12 = 213.97 : x
  2. Step 2: Convert to fraction form
    477.49/716.12 = 213.97/x
  3. Step 3: Cross multiply
    477.49x = 716.12 × 213.97
  4. Step 4: Simplify right side
    477.49x = 153,224.62
  5. Step 5: Solve for x
    x = 153,224.62/477.49
  6. Step 6: Final answer
    x = 320.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.