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Finding the Fourth Proportional to 221.62, 332.81 and 185.02

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Solution

The fourth proportional to 221.62, 332.81 and 185.02 is: 277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.62 : 332.81 = 185.02 : x
  2. Step 2: Convert to fraction form
    221.62/332.81 = 185.02/x
  3. Step 3: Cross multiply
    221.62x = 332.81 × 185.02
  4. Step 4: Simplify right side
    221.62x = 61,576.51
  5. Step 5: Solve for x
    x = 61,576.51/221.62
  6. Step 6: Final answer
    x = 277.85

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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.