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Finding the Fourth Proportional to 114.06, 170.12 and 111.18

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Solution

The fourth proportional to 114.06, 170.12 and 111.18 is: 165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.06 : 170.12 = 111.18 : x
  2. Step 2: Convert to fraction form
    114.06/170.12 = 111.18/x
  3. Step 3: Cross multiply
    114.06x = 170.12 × 111.18
  4. Step 4: Simplify right side
    114.06x = 18,913.39
  5. Step 5: Solve for x
    x = 18,913.39/114.06
  6. Step 6: Final answer
    x = 165.82

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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.