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Finding the Fourth Proportional to 260.52, 359.60 and 211.36

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Solution

The fourth proportional to 260.52, 359.60 and 211.36 is: 291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.52 : 359.60 = 211.36 : x
  2. Step 2: Convert to fraction form
    260.52/359.60 = 211.36/x
  3. Step 3: Cross multiply
    260.52x = 359.60 × 211.36
  4. Step 4: Simplify right side
    260.52x = 76,005.06
  5. Step 5: Solve for x
    x = 76,005.06/260.52
  6. Step 6: Final answer
    x = 291.74

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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.