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Finding the Fourth Proportional to 195.92, 270.12 and 157.28

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Solution

The fourth proportional to 195.92, 270.12 and 157.28 is: 216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.92 : 270.12 = 157.28 : x
  2. Step 2: Convert to fraction form
    195.92/270.12 = 157.28/x
  3. Step 3: Cross multiply
    195.92x = 270.12 × 157.28
  4. Step 4: Simplify right side
    195.92x = 42,484.47
  5. Step 5: Solve for x
    x = 42,484.47/195.92
  6. Step 6: Final answer
    x = 216.85

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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.