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Finding the Fourth Proportional to 198.04, 298.57 and 184.12

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Solution

The fourth proportional to 198.04, 298.57 and 184.12 is: 277.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.04 : 298.57 = 184.12 : x
  2. Step 2: Convert to fraction form
    198.04/298.57 = 184.12/x
  3. Step 3: Cross multiply
    198.04x = 298.57 × 184.12
  4. Step 4: Simplify right side
    198.04x = 54,972.71
  5. Step 5: Solve for x
    x = 54,972.71/198.04
  6. Step 6: Final answer
    x = 277.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.