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Finding the Fourth Proportional to 57.75, 86.21 and 49.13

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Solution

The fourth proportional to 57.75, 86.21 and 49.13 is: 73.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.75 : 86.21 = 49.13 : x
  2. Step 2: Convert to fraction form
    57.75/86.21 = 49.13/x
  3. Step 3: Cross multiply
    57.75x = 86.21 × 49.13
  4. Step 4: Simplify right side
    57.75x = 4,235.50
  5. Step 5: Solve for x
    x = 4,235.50/57.75
  6. Step 6: Final answer
    x = 73.34

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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.