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Finding the Fourth Proportional to 260.63, 359.39 and 177.79

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Solution

The fourth proportional to 260.63, 359.39 and 177.79 is: 245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.63 : 359.39 = 177.79 : x
  2. Step 2: Convert to fraction form
    260.63/359.39 = 177.79/x
  3. Step 3: Cross multiply
    260.63x = 359.39 × 177.79
  4. Step 4: Simplify right side
    260.63x = 63,894.16
  5. Step 5: Solve for x
    x = 63,894.16/260.63
  6. Step 6: Final answer
    x = 245.15

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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.