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Finding the Fourth Proportional to 201.38, 302.20 and 73.13

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Solution

The fourth proportional to 201.38, 302.20 and 73.13 is: 109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.38 : 302.20 = 73.13 : x
  2. Step 2: Convert to fraction form
    201.38/302.20 = 73.13/x
  3. Step 3: Cross multiply
    201.38x = 302.20 × 73.13
  4. Step 4: Simplify right side
    201.38x = 22,098.19
  5. Step 5: Solve for x
    x = 22,098.19/201.38
  6. Step 6: Final answer
    x = 109.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.