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Finding the Fourth Proportional to 197.52, 270.98 and 185.10

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Solution

The fourth proportional to 197.52, 270.98 and 185.10 is: 253.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.52 : 270.98 = 185.10 : x
  2. Step 2: Convert to fraction form
    197.52/270.98 = 185.10/x
  3. Step 3: Cross multiply
    197.52x = 270.98 × 185.10
  4. Step 4: Simplify right side
    197.52x = 50,157.47
  5. Step 5: Solve for x
    x = 50,157.47/197.52
  6. Step 6: Final answer
    x = 253.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.