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Finding the Fourth Proportional to 201.26, 302.50 and 161.17

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Solution

The fourth proportional to 201.26, 302.50 and 161.17 is: 242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.26 : 302.50 = 161.17 : x
  2. Step 2: Convert to fraction form
    201.26/302.50 = 161.17/x
  3. Step 3: Cross multiply
    201.26x = 302.50 × 161.17
  4. Step 4: Simplify right side
    201.26x = 48,753.93
  5. Step 5: Solve for x
    x = 48,753.93/201.26
  6. Step 6: Final answer
    x = 242.24

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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.