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Finding the Fourth Proportional to 195.81, 266.60 and 195.20

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Solution

The fourth proportional to 195.81, 266.60 and 195.20 is: 265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.81 : 266.60 = 195.20 : x
  2. Step 2: Convert to fraction form
    195.81/266.60 = 195.20/x
  3. Step 3: Cross multiply
    195.81x = 266.60 × 195.20
  4. Step 4: Simplify right side
    195.81x = 52,039.34
  5. Step 5: Solve for x
    x = 52,039.34/195.81
  6. Step 6: Final answer
    x = 265.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.