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Finding the Fourth Proportional to 114.85, 170.81 and 113.43

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Solution

The fourth proportional to 114.85, 170.81 and 113.43 is: 168.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.85 : 170.81 = 113.43 : x
  2. Step 2: Convert to fraction form
    114.85/170.81 = 113.43/x
  3. Step 3: Cross multiply
    114.85x = 170.81 × 113.43
  4. Step 4: Simplify right side
    114.85x = 19,374.98
  5. Step 5: Solve for x
    x = 19,374.98/114.85
  6. Step 6: Final answer
    x = 168.70

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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.