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Finding the Fourth Proportional to 193.54, 265.31 and 190.05

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Solution

The fourth proportional to 193.54, 265.31 and 190.05 is: 260.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.54 : 265.31 = 190.05 : x
  2. Step 2: Convert to fraction form
    193.54/265.31 = 190.05/x
  3. Step 3: Cross multiply
    193.54x = 265.31 × 190.05
  4. Step 4: Simplify right side
    193.54x = 50,422.17
  5. Step 5: Solve for x
    x = 50,422.17/193.54
  6. Step 6: Final answer
    x = 260.53

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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.