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Finding the Fourth Proportional to 103.12, 155.26 and 92.80

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Solution

The fourth proportional to 103.12, 155.26 and 92.80 is: 139.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.12 : 155.26 = 92.80 : x
  2. Step 2: Convert to fraction form
    103.12/155.26 = 92.80/x
  3. Step 3: Cross multiply
    103.12x = 155.26 × 92.80
  4. Step 4: Simplify right side
    103.12x = 14,408.13
  5. Step 5: Solve for x
    x = 14,408.13/103.12
  6. Step 6: Final answer
    x = 139.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.