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Finding the Fourth Proportional to 57.02, 85.46 and 36.69

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Solution

The fourth proportional to 57.02, 85.46 and 36.69 is: 54.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.02 : 85.46 = 36.69 : x
  2. Step 2: Convert to fraction form
    57.02/85.46 = 36.69/x
  3. Step 3: Cross multiply
    57.02x = 85.46 × 36.69
  4. Step 4: Simplify right side
    57.02x = 3,135.02
  5. Step 5: Solve for x
    x = 3,135.02/57.02
  6. Step 6: Final answer
    x = 54.98

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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.