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Finding the Fourth Proportional to 343.40, 512.17 and 331.16

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Solution

The fourth proportional to 343.40, 512.17 and 331.16 is: 493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.40 : 512.17 = 331.16 : x
  2. Step 2: Convert to fraction form
    343.40/512.17 = 331.16/x
  3. Step 3: Cross multiply
    343.40x = 512.17 × 331.16
  4. Step 4: Simplify right side
    343.40x = 169,610.22
  5. Step 5: Solve for x
    x = 169,610.22/343.40
  6. Step 6: Final answer
    x = 493.91

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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.