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Finding the Fourth Proportional to 197.10, 270.96 and 177.30

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Solution

The fourth proportional to 197.10, 270.96 and 177.30 is: 243.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.10 : 270.96 = 177.30 : x
  2. Step 2: Convert to fraction form
    197.10/270.96 = 177.30/x
  3. Step 3: Cross multiply
    197.10x = 270.96 × 177.30
  4. Step 4: Simplify right side
    197.10x = 48,041.21
  5. Step 5: Solve for x
    x = 48,041.21/197.10
  6. Step 6: Final answer
    x = 243.74

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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.