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Finding the Fourth Proportional to 114.20, 170.17 and 109.14

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Solution

The fourth proportional to 114.20, 170.17 and 109.14 is: 162.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.20 : 170.17 = 109.14 : x
  2. Step 2: Convert to fraction form
    114.20/170.17 = 109.14/x
  3. Step 3: Cross multiply
    114.20x = 170.17 × 109.14
  4. Step 4: Simplify right side
    114.20x = 18,572.35
  5. Step 5: Solve for x
    x = 18,572.35/114.20
  6. Step 6: Final answer
    x = 162.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.