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Finding the Fourth Proportional to 344.80, 472.26 and 324.86

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Solution

The fourth proportional to 344.80, 472.26 and 324.86 is: 444.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.80 : 472.26 = 324.86 : x
  2. Step 2: Convert to fraction form
    344.80/472.26 = 324.86/x
  3. Step 3: Cross multiply
    344.80x = 472.26 × 324.86
  4. Step 4: Simplify right side
    344.80x = 153,418.38
  5. Step 5: Solve for x
    x = 153,418.38/344.80
  6. Step 6: Final answer
    x = 444.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.