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Finding the Fourth Proportional to 119.56, 178.93 and 117.74

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Solution

The fourth proportional to 119.56, 178.93 and 117.74 is: 176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.56 : 178.93 = 117.74 : x
  2. Step 2: Convert to fraction form
    119.56/178.93 = 117.74/x
  3. Step 3: Cross multiply
    119.56x = 178.93 × 117.74
  4. Step 4: Simplify right side
    119.56x = 21,067.22
  5. Step 5: Solve for x
    x = 21,067.22/119.56
  6. Step 6: Final answer
    x = 176.21

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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.