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Finding the Fourth Proportional to 68.57, 102.77 and 38.13

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Solution

The fourth proportional to 68.57, 102.77 and 38.13 is: 57.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.57 : 102.77 = 38.13 : x
  2. Step 2: Convert to fraction form
    68.57/102.77 = 38.13/x
  3. Step 3: Cross multiply
    68.57x = 102.77 × 38.13
  4. Step 4: Simplify right side
    68.57x = 3,918.43
  5. Step 5: Solve for x
    x = 3,918.43/68.57
  6. Step 6: Final answer
    x = 57.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.