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Finding the Fourth Proportional to 472.09, 708.29 and 212.31

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Solution

The fourth proportional to 472.09, 708.29 and 212.31 is: 318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.09 : 708.29 = 212.31 : x
  2. Step 2: Convert to fraction form
    472.09/708.29 = 212.31/x
  3. Step 3: Cross multiply
    472.09x = 708.29 × 212.31
  4. Step 4: Simplify right side
    472.09x = 150,377.05
  5. Step 5: Solve for x
    x = 150,377.05/472.09
  6. Step 6: Final answer
    x = 318.53

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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.