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Finding the Fourth Proportional to 185.38, 278.16 and 104.26

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Solution

The fourth proportional to 185.38, 278.16 and 104.26 is: 156.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.38 : 278.16 = 104.26 : x
  2. Step 2: Convert to fraction form
    185.38/278.16 = 104.26/x
  3. Step 3: Cross multiply
    185.38x = 278.16 × 104.26
  4. Step 4: Simplify right side
    185.38x = 29,000.96
  5. Step 5: Solve for x
    x = 29,000.96/185.38
  6. Step 6: Final answer
    x = 156.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.