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Finding the Fourth Proportional to 114.21, 172.33 and 109.22

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Solution

The fourth proportional to 114.21, 172.33 and 109.22 is: 164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.21 : 172.33 = 109.22 : x
  2. Step 2: Convert to fraction form
    114.21/172.33 = 109.22/x
  3. Step 3: Cross multiply
    114.21x = 172.33 × 109.22
  4. Step 4: Simplify right side
    114.21x = 18,820.75
  5. Step 5: Solve for x
    x = 18,820.75/114.21
  6. Step 6: Final answer
    x = 164.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.