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Finding the Fourth Proportional to 231.99, 347.10 and 197.83

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Solution

The fourth proportional to 231.99, 347.10 and 197.83 is: 295.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.99 : 347.10 = 197.83 : x
  2. Step 2: Convert to fraction form
    231.99/347.10 = 197.83/x
  3. Step 3: Cross multiply
    231.99x = 347.10 × 197.83
  4. Step 4: Simplify right side
    231.99x = 68,666.79
  5. Step 5: Solve for x
    x = 68,666.79/231.99
  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.