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Finding the Fourth Proportional to 57.12, 78.78 and 41.56

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Solution

The fourth proportional to 57.12, 78.78 and 41.56 is: 57.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.12 : 78.78 = 41.56 : x
  2. Step 2: Convert to fraction form
    57.12/78.78 = 41.56/x
  3. Step 3: Cross multiply
    57.12x = 78.78 × 41.56
  4. Step 4: Simplify right side
    57.12x = 3,274.10
  5. Step 5: Solve for x
    x = 3,274.10/57.12
  6. Step 6: Final answer
    x = 57.32

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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.