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Finding the Fourth Proportional to 344.52, 472.34 and 338.38

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Solution

The fourth proportional to 344.52, 472.34 and 338.38 is: 463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.52 : 472.34 = 338.38 : x
  2. Step 2: Convert to fraction form
    344.52/472.34 = 338.38/x
  3. Step 3: Cross multiply
    344.52x = 472.34 × 338.38
  4. Step 4: Simplify right side
    344.52x = 159,830.41
  5. Step 5: Solve for x
    x = 159,830.41/344.52
  6. Step 6: Final answer
    x = 463.92

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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.