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Finding the Fourth Proportional to 185.34, 278.04 and 69.78

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Solution

The fourth proportional to 185.34, 278.04 and 69.78 is: 104.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.34 : 278.04 = 69.78 : x
  2. Step 2: Convert to fraction form
    185.34/278.04 = 69.78/x
  3. Step 3: Cross multiply
    185.34x = 278.04 × 69.78
  4. Step 4: Simplify right side
    185.34x = 19,401.28
  5. Step 5: Solve for x
    x = 19,401.28/185.34
  6. Step 6: Final answer
    x = 104.68

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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.