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Finding the Fourth Proportional to 109.78, 163.79 and 100.06

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Solution

The fourth proportional to 109.78, 163.79 and 100.06 is: 149.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.78 : 163.79 = 100.06 : x
  2. Step 2: Convert to fraction form
    109.78/163.79 = 100.06/x
  3. Step 3: Cross multiply
    109.78x = 163.79 × 100.06
  4. Step 4: Simplify right side
    109.78x = 16,388.83
  5. Step 5: Solve for x
    x = 16,388.83/109.78
  6. Step 6: Final answer
    x = 149.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.