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Finding the Fourth Proportional to 119.03, 178.03 and 104.05

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Solution

The fourth proportional to 119.03, 178.03 and 104.05 is: 155.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.03 : 178.03 = 104.05 : x
  2. Step 2: Convert to fraction form
    119.03/178.03 = 104.05/x
  3. Step 3: Cross multiply
    119.03x = 178.03 × 104.05
  4. Step 4: Simplify right side
    119.03x = 18,522.61
  5. Step 5: Solve for x
    x = 18,522.61/119.03
  6. Step 6: Final answer
    x = 155.61

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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.