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Finding the Fourth Proportional to 198.86, 296.70 and 169.64

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Solution

The fourth proportional to 198.86, 296.70 and 169.64 is: 253.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.86 : 296.70 = 169.64 : x
  2. Step 2: Convert to fraction form
    198.86/296.70 = 169.64/x
  3. Step 3: Cross multiply
    198.86x = 296.70 × 169.64
  4. Step 4: Simplify right side
    198.86x = 50,332.61
  5. Step 5: Solve for x
    x = 50,332.61/198.86
  6. Step 6: Final answer
    x = 253.11

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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.