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Finding the Fourth Proportional to 260.95, 359.89 and 211.14

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Solution

The fourth proportional to 260.95, 359.89 and 211.14 is: 291.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.95 : 359.89 = 211.14 : x
  2. Step 2: Convert to fraction form
    260.95/359.89 = 211.14/x
  3. Step 3: Cross multiply
    260.95x = 359.89 × 211.14
  4. Step 4: Simplify right side
    260.95x = 75,985.38
  5. Step 5: Solve for x
    x = 75,985.38/260.95
  6. Step 6: Final answer
    x = 291.19

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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.