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Finding the Fourth Proportional to 114.64, 170.85 and 111.17

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Solution

The fourth proportional to 114.64, 170.85 and 111.17 is: 165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.64 : 170.85 = 111.17 : x
  2. Step 2: Convert to fraction form
    114.64/170.85 = 111.17/x
  3. Step 3: Cross multiply
    114.64x = 170.85 × 111.17
  4. Step 4: Simplify right side
    114.64x = 18,993.39
  5. Step 5: Solve for x
    x = 18,993.39/114.64
  6. Step 6: Final answer
    x = 165.68

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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.