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Finding the Fourth Proportional to 205.22, 307.26 and 193.08

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Solution

The fourth proportional to 205.22, 307.26 and 193.08 is: 289.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.22 : 307.26 = 193.08 : x
  2. Step 2: Convert to fraction form
    205.22/307.26 = 193.08/x
  3. Step 3: Cross multiply
    205.22x = 307.26 × 193.08
  4. Step 4: Simplify right side
    205.22x = 59,325.76
  5. Step 5: Solve for x
    x = 59,325.76/205.22
  6. Step 6: Final answer
    x = 289.09

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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.