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Finding the Fourth Proportional to 195.12, 267.60 and 187.68

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Solution

The fourth proportional to 195.12, 267.60 and 187.68 is: 257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.12 : 267.60 = 187.68 : x
  2. Step 2: Convert to fraction form
    195.12/267.60 = 187.68/x
  3. Step 3: Cross multiply
    195.12x = 267.60 × 187.68
  4. Step 4: Simplify right side
    195.12x = 50,223.17
  5. Step 5: Solve for x
    x = 50,223.17/195.12
  6. Step 6: Final answer
    x = 257.40

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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.