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Finding the Fourth Proportional to 472.09, 651.60 and 306.31

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Solution

The fourth proportional to 472.09, 651.60 and 306.31 is: 422.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.09 : 651.60 = 306.31 : x
  2. Step 2: Convert to fraction form
    472.09/651.60 = 306.31/x
  3. Step 3: Cross multiply
    472.09x = 651.60 × 306.31
  4. Step 4: Simplify right side
    472.09x = 199,591.60
  5. Step 5: Solve for x
    x = 199,591.60/472.09
  6. Step 6: Final answer
    x = 422.78

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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.