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Finding the Fourth Proportional to 56.92, 78.64 and 39.41

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Solution

The fourth proportional to 56.92, 78.64 and 39.41 is: 54.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.92 : 78.64 = 39.41 : x
  2. Step 2: Convert to fraction form
    56.92/78.64 = 39.41/x
  3. Step 3: Cross multiply
    56.92x = 78.64 × 39.41
  4. Step 4: Simplify right side
    56.92x = 3,099.20
  5. Step 5: Solve for x
    x = 3,099.20/56.92
  6. Step 6: Final answer
    x = 54.45

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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.