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Finding the Fourth Proportional to 543.98, 815.97 and 197.32

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Solution

The fourth proportional to 543.98, 815.97 and 197.32 is: 295.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.98 : 815.97 = 197.32 : x
  2. Step 2: Convert to fraction form
    543.98/815.97 = 197.32/x
  3. Step 3: Cross multiply
    543.98x = 815.97 × 197.32
  4. Step 4: Simplify right side
    543.98x = 161,010.87
  5. Step 5: Solve for x
    x = 161,010.87/543.98
  6. Step 6: Final answer
    x = 295.99

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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.