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Finding the Fourth Proportional to 114.21, 172.17 and 105.57

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Solution

The fourth proportional to 114.21, 172.17 and 105.57 is: 159.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.21 : 172.17 = 105.57 : x
  2. Step 2: Convert to fraction form
    114.21/172.17 = 105.57/x
  3. Step 3: Cross multiply
    114.21x = 172.17 × 105.57
  4. Step 4: Simplify right side
    114.21x = 18,175.99
  5. Step 5: Solve for x
    x = 18,175.99/114.21
  6. Step 6: Final answer
    x = 159.15

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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.