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Finding the Fourth Proportional to 114.28, 172.20 and 94.43

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Solution

The fourth proportional to 114.28, 172.20 and 94.43 is: 142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.28 : 172.20 = 94.43 : x
  2. Step 2: Convert to fraction form
    114.28/172.20 = 94.43/x
  3. Step 3: Cross multiply
    114.28x = 172.20 × 94.43
  4. Step 4: Simplify right side
    114.28x = 16,261.28
  5. Step 5: Solve for x
    x = 16,261.28/114.28
  6. Step 6: Final answer
    x = 142.30

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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.