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Finding the Fourth Proportional to 114.39, 170.75 and 105.93

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Solution

The fourth proportional to 114.39, 170.75 and 105.93 is: 158.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.39 : 170.75 = 105.93 : x
  2. Step 2: Convert to fraction form
    114.39/170.75 = 105.93/x
  3. Step 3: Cross multiply
    114.39x = 170.75 × 105.93
  4. Step 4: Simplify right side
    114.39x = 18,086.16
  5. Step 5: Solve for x
    x = 18,086.16/114.39
  6. Step 6: Final answer
    x = 158.12

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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.