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Finding the Fourth Proportional to 195.48, 267.64 and 194.79

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Solution

The fourth proportional to 195.48, 267.64 and 194.79 is: 266.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.48 : 267.64 = 194.79 : x
  2. Step 2: Convert to fraction form
    195.48/267.64 = 194.79/x
  3. Step 3: Cross multiply
    195.48x = 267.64 × 194.79
  4. Step 4: Simplify right side
    195.48x = 52,133.60
  5. Step 5: Solve for x
    x = 52,133.60/195.48
  6. Step 6: Final answer
    x = 266.70

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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.