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Finding the Fourth Proportional to 49.00, 67.57 and 39.77

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Solution

The fourth proportional to 49.00, 67.57 and 39.77 is: 54.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.00 : 67.57 = 39.77 : x
  2. Step 2: Convert to fraction form
    49.00/67.57 = 39.77/x
  3. Step 3: Cross multiply
    49.00x = 67.57 × 39.77
  4. Step 4: Simplify right side
    49.00x = 2,687.33
  5. Step 5: Solve for x
    x = 2,687.33/49.00
  6. Step 6: Final answer
    x = 54.85

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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.