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Finding the Fourth Proportional to 201.20, 300.16 and 170.42

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Solution

The fourth proportional to 201.20, 300.16 and 170.42 is: 254.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.20 : 300.16 = 170.42 : x
  2. Step 2: Convert to fraction form
    201.20/300.16 = 170.42/x
  3. Step 3: Cross multiply
    201.20x = 300.16 × 170.42
  4. Step 4: Simplify right side
    201.20x = 51,151.98
  5. Step 5: Solve for x
    x = 51,151.98/201.20
  6. Step 6: Final answer
    x = 254.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.