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Finding the Fourth Proportional to 197.61, 295.73 and 165.57

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Solution

The fourth proportional to 197.61, 295.73 and 165.57 is: 247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.61 : 295.73 = 165.57 : x
  2. Step 2: Convert to fraction form
    197.61/295.73 = 165.57/x
  3. Step 3: Cross multiply
    197.61x = 295.73 × 165.57
  4. Step 4: Simplify right side
    197.61x = 48,964.02
  5. Step 5: Solve for x
    x = 48,964.02/197.61
  6. Step 6: Final answer
    x = 247.78

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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.