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Finding the Fourth Proportional to 259.45, 357.94 and 166.25

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Solution

The fourth proportional to 259.45, 357.94 and 166.25 is: 229.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.45 : 357.94 = 166.25 : x
  2. Step 2: Convert to fraction form
    259.45/357.94 = 166.25/x
  3. Step 3: Cross multiply
    259.45x = 357.94 × 166.25
  4. Step 4: Simplify right side
    259.45x = 59,505.74
  5. Step 5: Solve for x
    x = 59,505.74/259.45
  6. Step 6: Final answer
    x = 229.36

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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.