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Finding the Fourth Proportional to 195.48, 266.40 and 194.76

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Solution

The fourth proportional to 195.48, 266.40 and 194.76 is: 265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.48 : 266.40 = 194.76 : x
  2. Step 2: Convert to fraction form
    195.48/266.40 = 194.76/x
  3. Step 3: Cross multiply
    195.48x = 266.40 × 194.76
  4. Step 4: Simplify right side
    195.48x = 51,884.06
  5. Step 5: Solve for x
    x = 51,884.06/195.48
  6. Step 6: Final answer
    x = 265.42

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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.