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Finding the Fourth Proportional to 57.60, 81.90 and 57.60

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Solution

The fourth proportional to 57.60, 81.90 and 57.60 is: 81.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.60 : 81.90 = 57.60 : x
  2. Step 2: Convert to fraction form
    57.60/81.90 = 57.60/x
  3. Step 3: Cross multiply
    57.60x = 81.90 × 57.60
  4. Step 4: Simplify right side
    57.60x = 4,717.44
  5. Step 5: Solve for x
    x = 4,717.44/57.60
  6. Step 6: Final answer
    x = 81.90

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.