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Finding the Fourth Proportional to 260.78, 359.50 and 208.48

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Solution

The fourth proportional to 260.78, 359.50 and 208.48 is: 287.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.78 : 359.50 = 208.48 : x
  2. Step 2: Convert to fraction form
    260.78/359.50 = 208.48/x
  3. Step 3: Cross multiply
    260.78x = 359.50 × 208.48
  4. Step 4: Simplify right side
    260.78x = 74,948.56
  5. Step 5: Solve for x
    x = 74,948.56/260.78
  6. Step 6: Final answer
    x = 287.40

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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.