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Finding the Fourth Proportional to 201.84, 303.18 and 179.49

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Solution

The fourth proportional to 201.84, 303.18 and 179.49 is: 269.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.84 : 303.18 = 179.49 : x
  2. Step 2: Convert to fraction form
    201.84/303.18 = 179.49/x
  3. Step 3: Cross multiply
    201.84x = 303.18 × 179.49
  4. Step 4: Simplify right side
    201.84x = 54,417.78
  5. Step 5: Solve for x
    x = 54,417.78/201.84
  6. Step 6: Final answer
    x = 269.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.