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Finding the Fourth Proportional to 142.27, 213.33 and 90.90

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Solution

The fourth proportional to 142.27, 213.33 and 90.90 is: 136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.27 : 213.33 = 90.90 : x
  2. Step 2: Convert to fraction form
    142.27/213.33 = 90.90/x
  3. Step 3: Cross multiply
    142.27x = 213.33 × 90.90
  4. Step 4: Simplify right side
    142.27x = 19,391.70
  5. Step 5: Solve for x
    x = 19,391.70/142.27
  6. Step 6: Final answer
    x = 136.30

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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.