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Finding the Fourth Proportional to 114.41, 170.77 and 106.38

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Solution

The fourth proportional to 114.41, 170.77 and 106.38 is: 158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.41 : 170.77 = 106.38 : x
  2. Step 2: Convert to fraction form
    114.41/170.77 = 106.38/x
  3. Step 3: Cross multiply
    114.41x = 170.77 × 106.38
  4. Step 4: Simplify right side
    114.41x = 18,166.51
  5. Step 5: Solve for x
    x = 18,166.51/114.41
  6. Step 6: Final answer
    x = 158.78

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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.