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Finding the Fourth Proportional to 343.88, 513.37 and 329.48

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Solution

The fourth proportional to 343.88, 513.37 and 329.48 is: 491.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.88 : 513.37 = 329.48 : x
  2. Step 2: Convert to fraction form
    343.88/513.37 = 329.48/x
  3. Step 3: Cross multiply
    343.88x = 513.37 × 329.48
  4. Step 4: Simplify right side
    343.88x = 169,145.15
  5. Step 5: Solve for x
    x = 169,145.15/343.88
  6. Step 6: Final answer
    x = 491.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.