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Finding the Fourth Proportional to 260.46, 359.10 and 211.23

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Solution

The fourth proportional to 260.46, 359.10 and 211.23 is: 291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.46 : 359.10 = 211.23 : x
  2. Step 2: Convert to fraction form
    260.46/359.10 = 211.23/x
  3. Step 3: Cross multiply
    260.46x = 359.10 × 211.23
  4. Step 4: Simplify right side
    260.46x = 75,852.69
  5. Step 5: Solve for x
    x = 75,852.69/260.46
  6. Step 6: Final answer
    x = 291.23

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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.