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Finding the Fourth Proportional to 57.55, 79.05 and 49.75

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Solution

The fourth proportional to 57.55, 79.05 and 49.75 is: 68.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.55 : 79.05 = 49.75 : x
  2. Step 2: Convert to fraction form
    57.55/79.05 = 49.75/x
  3. Step 3: Cross multiply
    57.55x = 79.05 × 49.75
  4. Step 4: Simplify right side
    57.55x = 3,932.34
  5. Step 5: Solve for x
    x = 3,932.34/57.55
  6. Step 6: Final answer
    x = 68.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.