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Finding the Fourth Proportional to 144.54, 199.35 and 100.86

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Solution

The fourth proportional to 144.54, 199.35 and 100.86 is: 139.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.54 : 199.35 = 100.86 : x
  2. Step 2: Convert to fraction form
    144.54/199.35 = 100.86/x
  3. Step 3: Cross multiply
    144.54x = 199.35 × 100.86
  4. Step 4: Simplify right side
    144.54x = 20,106.44
  5. Step 5: Solve for x
    x = 20,106.44/144.54
  6. Step 6: Final answer
    x = 139.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.