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Finding the Fourth Proportional to 109.63, 163.06 and 106.23

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Solution

The fourth proportional to 109.63, 163.06 and 106.23 is: 158.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.63 : 163.06 = 106.23 : x
  2. Step 2: Convert to fraction form
    109.63/163.06 = 106.23/x
  3. Step 3: Cross multiply
    109.63x = 163.06 × 106.23
  4. Step 4: Simplify right side
    109.63x = 17,321.86
  5. Step 5: Solve for x
    x = 17,321.86/109.63
  6. Step 6: Final answer
    x = 158.00

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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.