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Finding the Fourth Proportional to 339.72, 470.69 and 334.48

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Solution

The fourth proportional to 339.72, 470.69 and 334.48 is: 463.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.72 : 470.69 = 334.48 : x
  2. Step 2: Convert to fraction form
    339.72/470.69 = 334.48/x
  3. Step 3: Cross multiply
    339.72x = 470.69 × 334.48
  4. Step 4: Simplify right side
    339.72x = 157,436.39
  5. Step 5: Solve for x
    x = 157,436.39/339.72
  6. Step 6: Final answer
    x = 463.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.