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Finding the Fourth Proportional to 100.41, 139.40 and 97.44

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Solution

The fourth proportional to 100.41, 139.40 and 97.44 is: 135.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.41 : 139.40 = 97.44 : x
  2. Step 2: Convert to fraction form
    100.41/139.40 = 97.44/x
  3. Step 3: Cross multiply
    100.41x = 139.40 × 97.44
  4. Step 4: Simplify right side
    100.41x = 13,583.14
  5. Step 5: Solve for x
    x = 13,583.14/100.41
  6. Step 6: Final answer
    x = 135.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.