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Finding the Fourth Proportional to 114.26, 172.15 and 103.43

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Solution

The fourth proportional to 114.26, 172.15 and 103.43 is: 155.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.26 : 172.15 = 103.43 : x
  2. Step 2: Convert to fraction form
    114.26/172.15 = 103.43/x
  3. Step 3: Cross multiply
    114.26x = 172.15 × 103.43
  4. Step 4: Simplify right side
    114.26x = 17,804.96
  5. Step 5: Solve for x
    x = 17,804.96/114.26
  6. Step 6: Final answer
    x = 155.84

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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.