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Finding the Fourth Proportional to 201.20, 277.02 and 176.72

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Solution

The fourth proportional to 201.20, 277.02 and 176.72 is: 243.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.20 : 277.02 = 176.72 : x
  2. Step 2: Convert to fraction form
    201.20/277.02 = 176.72/x
  3. Step 3: Cross multiply
    201.20x = 277.02 × 176.72
  4. Step 4: Simplify right side
    201.20x = 48,954.97
  5. Step 5: Solve for x
    x = 48,954.97/201.20
  6. Step 6: Final answer
    x = 243.31

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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.