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Finding the Fourth Proportional to 57.50, 85.80 and 53.86

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Solution

The fourth proportional to 57.50, 85.80 and 53.86 is: 80.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.50 : 85.80 = 53.86 : x
  2. Step 2: Convert to fraction form
    57.50/85.80 = 53.86/x
  3. Step 3: Cross multiply
    57.50x = 85.80 × 53.86
  4. Step 4: Simplify right side
    57.50x = 4,621.19
  5. Step 5: Solve for x
    x = 4,621.19/57.50
  6. Step 6: Final answer
    x = 80.37

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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.