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Finding the Fourth Proportional to 119.33, 178.15 and 105.77

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Solution

The fourth proportional to 119.33, 178.15 and 105.77 is: 157.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.33 : 178.15 = 105.77 : x
  2. Step 2: Convert to fraction form
    119.33/178.15 = 105.77/x
  3. Step 3: Cross multiply
    119.33x = 178.15 × 105.77
  4. Step 4: Simplify right side
    119.33x = 18,842.93
  5. Step 5: Solve for x
    x = 18,842.93/119.33
  6. Step 6: Final answer
    x = 157.91

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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.