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Finding the Fourth Proportional to 262.78, 360.23 and 258.12

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Solution

The fourth proportional to 262.78, 360.23 and 258.12 is: 353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.78 : 360.23 = 258.12 : x
  2. Step 2: Convert to fraction form
    262.78/360.23 = 258.12/x
  3. Step 3: Cross multiply
    262.78x = 360.23 × 258.12
  4. Step 4: Simplify right side
    262.78x = 92,982.57
  5. Step 5: Solve for x
    x = 92,982.57/262.78
  6. Step 6: Final answer
    x = 353.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.