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Finding the Fourth Proportional to 101.80, 141.31 and 100.36

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Solution

The fourth proportional to 101.80, 141.31 and 100.36 is: 139.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.80 : 141.31 = 100.36 : x
  2. Step 2: Convert to fraction form
    101.80/141.31 = 100.36/x
  3. Step 3: Cross multiply
    101.80x = 141.31 × 100.36
  4. Step 4: Simplify right side
    101.80x = 14,181.87
  5. Step 5: Solve for x
    x = 14,181.87/101.80
  6. Step 6: Final answer
    x = 139.31

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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.