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Finding the Fourth Proportional to 101.66, 140.99 and 100.44

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Solution

The fourth proportional to 101.66, 140.99 and 100.44 is: 139.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.66 : 140.99 = 100.44 : x
  2. Step 2: Convert to fraction form
    101.66/140.99 = 100.44/x
  3. Step 3: Cross multiply
    101.66x = 140.99 × 100.44
  4. Step 4: Simplify right side
    101.66x = 14,160.53
  5. Step 5: Solve for x
    x = 14,160.53/101.66
  6. Step 6: Final answer
    x = 139.30

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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.