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Finding the Fourth Proportional to 195.68, 268.60 and 178.40

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Solution

The fourth proportional to 195.68, 268.60 and 178.40 is: 244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.68 : 268.60 = 178.40 : x
  2. Step 2: Convert to fraction form
    195.68/268.60 = 178.40/x
  3. Step 3: Cross multiply
    195.68x = 268.60 × 178.40
  4. Step 4: Simplify right side
    195.68x = 47,918.24
  5. Step 5: Solve for x
    x = 47,918.24/195.68
  6. Step 6: Final answer
    x = 244.88

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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.