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Finding the Fourth Proportional to 57.07, 84.92 and 50.98

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Solution

The fourth proportional to 57.07, 84.92 and 50.98 is: 75.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.07 : 84.92 = 50.98 : x
  2. Step 2: Convert to fraction form
    57.07/84.92 = 50.98/x
  3. Step 3: Cross multiply
    57.07x = 84.92 × 50.98
  4. Step 4: Simplify right side
    57.07x = 4,329.22
  5. Step 5: Solve for x
    x = 4,329.22/57.07
  6. Step 6: Final answer
    x = 75.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.