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Finding the Fourth Proportional to 201.88, 279.21 and 180.01

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Solution

The fourth proportional to 201.88, 279.21 and 180.01 is: 248.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.88 : 279.21 = 180.01 : x
  2. Step 2: Convert to fraction form
    201.88/279.21 = 180.01/x
  3. Step 3: Cross multiply
    201.88x = 279.21 × 180.01
  4. Step 4: Simplify right side
    201.88x = 50,260.59
  5. Step 5: Solve for x
    x = 50,260.59/201.88
  6. Step 6: Final answer
    x = 248.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.