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Finding the Fourth Proportional to 104.40, 144.90 and 101.76

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Solution

The fourth proportional to 104.40, 144.90 and 101.76 is: 141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.40 : 144.90 = 101.76 : x
  2. Step 2: Convert to fraction form
    104.40/144.90 = 101.76/x
  3. Step 3: Cross multiply
    104.40x = 144.90 × 101.76
  4. Step 4: Simplify right side
    104.40x = 14,745.02
  5. Step 5: Solve for x
    x = 14,745.02/104.40
  6. Step 6: Final answer
    x = 141.24

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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.