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Finding the Fourth Proportional to 102.44, 142.37 and 101.36

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Solution

The fourth proportional to 102.44, 142.37 and 101.36 is: 140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.44 : 142.37 = 101.36 : x
  2. Step 2: Convert to fraction form
    102.44/142.37 = 101.36/x
  3. Step 3: Cross multiply
    102.44x = 142.37 × 101.36
  4. Step 4: Simplify right side
    102.44x = 14,430.62
  5. Step 5: Solve for x
    x = 14,430.62/102.44
  6. Step 6: Final answer
    x = 140.87

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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.