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Finding the Fourth Proportional to 185.82, 278.33 and 155.18

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Solution

The fourth proportional to 185.82, 278.33 and 155.18 is: 232.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.82 : 278.33 = 155.18 : x
  2. Step 2: Convert to fraction form
    185.82/278.33 = 155.18/x
  3. Step 3: Cross multiply
    185.82x = 278.33 × 155.18
  4. Step 4: Simplify right side
    185.82x = 43,189.08
  5. Step 5: Solve for x
    x = 43,189.08/185.82
  6. Step 6: Final answer
    x = 232.42

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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.