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Finding the Fourth Proportional to 198.75, 296.58 and 180.57

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Solution

The fourth proportional to 198.75, 296.58 and 180.57 is: 269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.75 : 296.58 = 180.57 : x
  2. Step 2: Convert to fraction form
    198.75/296.58 = 180.57/x
  3. Step 3: Cross multiply
    198.75x = 296.58 × 180.57
  4. Step 4: Simplify right side
    198.75x = 53,553.45
  5. Step 5: Solve for x
    x = 53,553.45/198.75
  6. Step 6: Final answer
    x = 269.45

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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.