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Finding the Fourth Proportional to 185.35, 278.34 and 164.83

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Solution

The fourth proportional to 185.35, 278.34 and 164.83 is: 247.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.35 : 278.34 = 164.83 : x
  2. Step 2: Convert to fraction form
    185.35/278.34 = 164.83/x
  3. Step 3: Cross multiply
    185.35x = 278.34 × 164.83
  4. Step 4: Simplify right side
    185.35x = 45,878.78
  5. Step 5: Solve for x
    x = 45,878.78/185.35
  6. Step 6: Final answer
    x = 247.53

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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.