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Finding the Fourth Proportional to 142.27, 213.28 and 73.89

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Solution

The fourth proportional to 142.27, 213.28 and 73.89 is: 110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.27 : 213.28 = 73.89 : x
  2. Step 2: Convert to fraction form
    142.27/213.28 = 73.89/x
  3. Step 3: Cross multiply
    142.27x = 213.28 × 73.89
  4. Step 4: Simplify right side
    142.27x = 15,759.26
  5. Step 5: Solve for x
    x = 15,759.26/142.27
  6. Step 6: Final answer
    x = 110.77

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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.