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Finding the Fourth Proportional to 195.66, 270.54 and 178.19

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Solution

The fourth proportional to 195.66, 270.54 and 178.19 is: 246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.66 : 270.54 = 178.19 : x
  2. Step 2: Convert to fraction form
    195.66/270.54 = 178.19/x
  3. Step 3: Cross multiply
    195.66x = 270.54 × 178.19
  4. Step 4: Simplify right side
    195.66x = 48,206.52
  5. Step 5: Solve for x
    x = 48,206.52/195.66
  6. Step 6: Final answer
    x = 246.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.