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Finding the Fourth Proportional to 57.11, 85.69 and 30.08

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Solution

The fourth proportional to 57.11, 85.69 and 30.08 is: 45.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.11 : 85.69 = 30.08 : x
  2. Step 2: Convert to fraction form
    57.11/85.69 = 30.08/x
  3. Step 3: Cross multiply
    57.11x = 85.69 × 30.08
  4. Step 4: Simplify right side
    57.11x = 2,576.98
  5. Step 5: Solve for x
    x = 2,576.98/57.11
  6. Step 6: Final answer
    x = 45.12

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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.