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Finding the Fourth Proportional to 119.67, 178.50 and 117.78

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Solution

The fourth proportional to 119.67, 178.50 and 117.78 is: 175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.67 : 178.50 = 117.78 : x
  2. Step 2: Convert to fraction form
    119.67/178.50 = 117.78/x
  3. Step 3: Cross multiply
    119.67x = 178.50 × 117.78
  4. Step 4: Simplify right side
    119.67x = 21,022.25
  5. Step 5: Solve for x
    x = 21,022.25/119.67
  6. Step 6: Final answer
    x = 175.68

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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.