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Finding the Fourth Proportional to 57.14, 78.78 and 42.56

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Solution

The fourth proportional to 57.14, 78.78 and 42.56 is: 58.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.14 : 78.78 = 42.56 : x
  2. Step 2: Convert to fraction form
    57.14/78.78 = 42.56/x
  3. Step 3: Cross multiply
    57.14x = 78.78 × 42.56
  4. Step 4: Simplify right side
    57.14x = 3,352.88
  5. Step 5: Solve for x
    x = 3,352.88/57.14
  6. Step 6: Final answer
    x = 58.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.