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Finding the Fourth Proportional to 221.93, 333.02 and 205.02

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Solution

The fourth proportional to 221.93, 333.02 and 205.02 is: 307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.93 : 333.02 = 205.02 : x
  2. Step 2: Convert to fraction form
    221.93/333.02 = 205.02/x
  3. Step 3: Cross multiply
    221.93x = 333.02 × 205.02
  4. Step 4: Simplify right side
    221.93x = 68,274.74
  5. Step 5: Solve for x
    x = 68,274.74/221.93
  6. Step 6: Final answer
    x = 307.65

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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.