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Finding the Fourth Proportional to 57.98, 86.46 and 54.94

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Solution

The fourth proportional to 57.98, 86.46 and 54.94 is: 81.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.98 : 86.46 = 54.94 : x
  2. Step 2: Convert to fraction form
    57.98/86.46 = 54.94/x
  3. Step 3: Cross multiply
    57.98x = 86.46 × 54.94
  4. Step 4: Simplify right side
    57.98x = 4,750.11
  5. Step 5: Solve for x
    x = 4,750.11/57.98
  6. Step 6: Final answer
    x = 81.93

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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.