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Finding the Fourth Proportional to 57.06, 85.20 and 53.86

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Solution

The fourth proportional to 57.06, 85.20 and 53.86 is: 80.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.06 : 85.20 = 53.86 : x
  2. Step 2: Convert to fraction form
    57.06/85.20 = 53.86/x
  3. Step 3: Cross multiply
    57.06x = 85.20 × 53.86
  4. Step 4: Simplify right side
    57.06x = 4,588.31
  5. Step 5: Solve for x
    x = 4,588.31/57.06
  6. Step 6: Final answer
    x = 80.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.