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Finding the Fourth Proportional to 185.67, 278.19 and 156.96

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Solution

The fourth proportional to 185.67, 278.19 and 156.96 is: 235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.67 : 278.19 = 156.96 : x
  2. Step 2: Convert to fraction form
    185.67/278.19 = 156.96/x
  3. Step 3: Cross multiply
    185.67x = 278.19 × 156.96
  4. Step 4: Simplify right side
    185.67x = 43,664.70
  5. Step 5: Solve for x
    x = 43,664.70/185.67
  6. Step 6: Final answer
    x = 235.17

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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.