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Finding the Fourth Proportional to 49.90, 68.77 and 39.02

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Solution

The fourth proportional to 49.90, 68.77 and 39.02 is: 53.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.90 : 68.77 = 39.02 : x
  2. Step 2: Convert to fraction form
    49.90/68.77 = 39.02/x
  3. Step 3: Cross multiply
    49.90x = 68.77 × 39.02
  4. Step 4: Simplify right side
    49.90x = 2,683.41
  5. Step 5: Solve for x
    x = 2,683.41/49.90
  6. Step 6: Final answer
    x = 53.78

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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.