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Finding the Fourth Proportional to 119.29, 178.81 and 78.74

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Solution

The fourth proportional to 119.29, 178.81 and 78.74 is: 118.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.29 : 178.81 = 78.74 : x
  2. Step 2: Convert to fraction form
    119.29/178.81 = 78.74/x
  3. Step 3: Cross multiply
    119.29x = 178.81 × 78.74
  4. Step 4: Simplify right side
    119.29x = 14,079.50
  5. Step 5: Solve for x
    x = 14,079.50/119.29
  6. Step 6: Final answer
    x = 118.03

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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.