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Finding the Fourth Proportional to 198.59, 296.34 and 178.16

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Solution

The fourth proportional to 198.59, 296.34 and 178.16 is: 265.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.59 : 296.34 = 178.16 : x
  2. Step 2: Convert to fraction form
    198.59/296.34 = 178.16/x
  3. Step 3: Cross multiply
    198.59x = 296.34 × 178.16
  4. Step 4: Simplify right side
    198.59x = 52,795.93
  5. Step 5: Solve for x
    x = 52,795.93/198.59
  6. Step 6: Final answer
    x = 265.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.