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Finding the Fourth Proportional to 343.13, 514.21 and 196.58

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Solution

The fourth proportional to 343.13, 514.21 and 196.58 is: 294.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.13 : 514.21 = 196.58 : x
  2. Step 2: Convert to fraction form
    343.13/514.21 = 196.58/x
  3. Step 3: Cross multiply
    343.13x = 514.21 × 196.58
  4. Step 4: Simplify right side
    343.13x = 101,083.40
  5. Step 5: Solve for x
    x = 101,083.40/343.13
  6. Step 6: Final answer
    x = 294.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.