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Finding the Fourth Proportional to 68.99, 103.50 and 38.54

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Solution

The fourth proportional to 68.99, 103.50 and 38.54 is: 57.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.99 : 103.50 = 38.54 : x
  2. Step 2: Convert to fraction form
    68.99/103.50 = 38.54/x
  3. Step 3: Cross multiply
    68.99x = 103.50 × 38.54
  4. Step 4: Simplify right side
    68.99x = 3,988.89
  5. Step 5: Solve for x
    x = 3,988.89/68.99
  6. Step 6: Final answer
    x = 57.82

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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.