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Finding the Fourth Proportional to 103.88, 155.83 and 31.72

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Solution

The fourth proportional to 103.88, 155.83 and 31.72 is: 47.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.88 : 155.83 = 31.72 : x
  2. Step 2: Convert to fraction form
    103.88/155.83 = 31.72/x
  3. Step 3: Cross multiply
    103.88x = 155.83 × 31.72
  4. Step 4: Simplify right side
    103.88x = 4,942.93
  5. Step 5: Solve for x
    x = 4,942.93/103.88
  6. Step 6: Final answer
    x = 47.59

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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.