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Finding the Fourth Proportional to 134.80, 201.90 and 109.06

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Solution

The fourth proportional to 134.80, 201.90 and 109.06 is: 163.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.80 : 201.90 = 109.06 : x
  2. Step 2: Convert to fraction form
    134.80/201.90 = 109.06/x
  3. Step 3: Cross multiply
    134.80x = 201.90 × 109.06
  4. Step 4: Simplify right side
    134.80x = 22,019.21
  5. Step 5: Solve for x
    x = 22,019.21/134.80
  6. Step 6: Final answer
    x = 163.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.