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Finding the Fourth Proportional to 260.94, 359.79 and 178.09

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Solution

The fourth proportional to 260.94, 359.79 and 178.09 is: 245.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.94 : 359.79 = 178.09 : x
  2. Step 2: Convert to fraction form
    260.94/359.79 = 178.09/x
  3. Step 3: Cross multiply
    260.94x = 359.79 × 178.09
  4. Step 4: Simplify right side
    260.94x = 64,075.00
  5. Step 5: Solve for x
    x = 64,075.00/260.94
  6. Step 6: Final answer
    x = 245.56

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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.