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Finding the Fourth Proportional to 193.55, 268.22 and 189.91

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Solution

The fourth proportional to 193.55, 268.22 and 189.91 is: 263.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.55 : 268.22 = 189.91 : x
  2. Step 2: Convert to fraction form
    193.55/268.22 = 189.91/x
  3. Step 3: Cross multiply
    193.55x = 268.22 × 189.91
  4. Step 4: Simplify right side
    193.55x = 50,937.46
  5. Step 5: Solve for x
    x = 50,937.46/193.55
  6. Step 6: Final answer
    x = 263.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.