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Finding the Fourth Proportional to 349.37, 482.15 and 197.96

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Solution

The fourth proportional to 349.37, 482.15 and 197.96 is: 273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.37 : 482.15 = 197.96 : x
  2. Step 2: Convert to fraction form
    349.37/482.15 = 197.96/x
  3. Step 3: Cross multiply
    349.37x = 482.15 × 197.96
  4. Step 4: Simplify right side
    349.37x = 95,446.84
  5. Step 5: Solve for x
    x = 95,446.84/349.37
  6. Step 6: Final answer
    x = 273.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.