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Finding the Fourth Proportional to 114.40, 172.40 and 107.20

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Solution

The fourth proportional to 114.40, 172.40 and 107.20 is: 161.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.40 : 172.40 = 107.20 : x
  2. Step 2: Convert to fraction form
    114.40/172.40 = 107.20/x
  3. Step 3: Cross multiply
    114.40x = 172.40 × 107.20
  4. Step 4: Simplify right side
    114.40x = 18,481.28
  5. Step 5: Solve for x
    x = 18,481.28/114.40
  6. Step 6: Final answer
    x = 161.55

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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.