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Finding the Fourth Proportional to 195.62, 268.06 and 187.11

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Solution

The fourth proportional to 195.62, 268.06 and 187.11 is: 256.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.62 : 268.06 = 187.11 : x
  2. Step 2: Convert to fraction form
    195.62/268.06 = 187.11/x
  3. Step 3: Cross multiply
    195.62x = 268.06 × 187.11
  4. Step 4: Simplify right side
    195.62x = 50,156.59
  5. Step 5: Solve for x
    x = 50,156.59/195.62
  6. Step 6: Final answer
    x = 256.40

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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.