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Finding the Fourth Proportional to 201.44, 302.21 and 146.12

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Solution

The fourth proportional to 201.44, 302.21 and 146.12 is: 219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.44 : 302.21 = 146.12 : x
  2. Step 2: Convert to fraction form
    201.44/302.21 = 146.12/x
  3. Step 3: Cross multiply
    201.44x = 302.21 × 146.12
  4. Step 4: Simplify right side
    201.44x = 44,156.68
  5. Step 5: Solve for x
    x = 44,156.68/201.44
  6. Step 6: Final answer
    x = 219.21

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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.