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Finding the Fourth Proportional to 259.09, 357.89 and 193.48

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Solution

The fourth proportional to 259.09, 357.89 and 193.48 is: 267.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.09 : 357.89 = 193.48 : x
  2. Step 2: Convert to fraction form
    259.09/357.89 = 193.48/x
  3. Step 3: Cross multiply
    259.09x = 357.89 × 193.48
  4. Step 4: Simplify right side
    259.09x = 69,243.59
  5. Step 5: Solve for x
    x = 69,243.59/259.09
  6. Step 6: Final answer
    x = 267.26

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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.