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Finding the Fourth Proportional to 114.14, 172.04 and 109.82

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Solution

The fourth proportional to 114.14, 172.04 and 109.82 is: 165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.14 : 172.04 = 109.82 : x
  2. Step 2: Convert to fraction form
    114.14/172.04 = 109.82/x
  3. Step 3: Cross multiply
    114.14x = 172.04 × 109.82
  4. Step 4: Simplify right side
    114.14x = 18,893.43
  5. Step 5: Solve for x
    x = 18,893.43/114.14
  6. Step 6: Final answer
    x = 165.53

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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.