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Finding the Fourth Proportional to 104.88, 145.44 and 100.86

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Solution

The fourth proportional to 104.88, 145.44 and 100.86 is: 139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.88 : 145.44 = 100.86 : x
  2. Step 2: Convert to fraction form
    104.88/145.44 = 100.86/x
  3. Step 3: Cross multiply
    104.88x = 145.44 × 100.86
  4. Step 4: Simplify right side
    104.88x = 14,669.08
  5. Step 5: Solve for x
    x = 14,669.08/104.88
  6. Step 6: Final answer
    x = 139.87

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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.