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Finding the Fourth Proportional to 543.21, 814.31 and 196.46

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Solution

The fourth proportional to 543.21, 814.31 and 196.46 is: 294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.21 : 814.31 = 196.46 : x
  2. Step 2: Convert to fraction form
    543.21/814.31 = 196.46/x
  3. Step 3: Cross multiply
    543.21x = 814.31 × 196.46
  4. Step 4: Simplify right side
    543.21x = 159,979.34
  5. Step 5: Solve for x
    x = 159,979.34/543.21
  6. Step 6: Final answer
    x = 294.51

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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.