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Finding the Fourth Proportional to 543.16, 814.91 and 196.49

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Solution

The fourth proportional to 543.16, 814.91 and 196.49 is: 294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.16 : 814.91 = 196.49 : x
  2. Step 2: Convert to fraction form
    543.16/814.91 = 196.49/x
  3. Step 3: Cross multiply
    543.16x = 814.91 × 196.49
  4. Step 4: Simplify right side
    543.16x = 160,121.67
  5. Step 5: Solve for x
    x = 160,121.67/543.16
  6. Step 6: Final answer
    x = 294.80

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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.