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Finding the Fourth Proportional to 114.09, 170.83 and 89.14

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Solution

The fourth proportional to 114.09, 170.83 and 89.14 is: 133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.09 : 170.83 = 89.14 : x
  2. Step 2: Convert to fraction form
    114.09/170.83 = 89.14/x
  3. Step 3: Cross multiply
    114.09x = 170.83 × 89.14
  4. Step 4: Simplify right side
    114.09x = 15,227.40
  5. Step 5: Solve for x
    x = 15,227.40/114.09
  6. Step 6: Final answer
    x = 133.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.