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Finding the Fourth Proportional to 220.93, 305.37 and 194.50

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Solution

The fourth proportional to 220.93, 305.37 and 194.50 is: 268.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.93 : 305.37 = 194.50 : x
  2. Step 2: Convert to fraction form
    220.93/305.37 = 194.50/x
  3. Step 3: Cross multiply
    220.93x = 305.37 × 194.50
  4. Step 4: Simplify right side
    220.93x = 59,394.85
  5. Step 5: Solve for x
    x = 59,394.85/220.93
  6. Step 6: Final answer
    x = 268.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.