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Finding the Fourth Proportional to 201.76, 301.92 and 147.20

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Solution

The fourth proportional to 201.76, 301.92 and 147.20 is: 220.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.76 : 301.92 = 147.20 : x
  2. Step 2: Convert to fraction form
    201.76/301.92 = 147.20/x
  3. Step 3: Cross multiply
    201.76x = 301.92 × 147.20
  4. Step 4: Simplify right side
    201.76x = 44,442.62
  5. Step 5: Solve for x
    x = 44,442.62/201.76
  6. Step 6: Final answer
    x = 220.27

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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.