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Finding the Fourth Proportional to 193.22, 265.07 and 189.98

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Solution

The fourth proportional to 193.22, 265.07 and 189.98 is: 260.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.22 : 265.07 = 189.98 : x
  2. Step 2: Convert to fraction form
    193.22/265.07 = 189.98/x
  3. Step 3: Cross multiply
    193.22x = 265.07 × 189.98
  4. Step 4: Simplify right side
    193.22x = 50,355.72
  5. Step 5: Solve for x
    x = 50,355.72/193.22
  6. Step 6: Final answer
    x = 260.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.