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Finding the Fourth Proportional to 57.92, 79.72 and 50.60

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Solution

The fourth proportional to 57.92, 79.72 and 50.60 is: 69.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.92 : 79.72 = 50.60 : x
  2. Step 2: Convert to fraction form
    57.92/79.72 = 50.60/x
  3. Step 3: Cross multiply
    57.92x = 79.72 × 50.60
  4. Step 4: Simplify right side
    57.92x = 4,033.83
  5. Step 5: Solve for x
    x = 4,033.83/57.92
  6. Step 6: Final answer
    x = 69.64

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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.