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Finding the Fourth Proportional to 262.75, 362.06 and 215.98

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Solution

The fourth proportional to 262.75, 362.06 and 215.98 is: 297.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.75 : 362.06 = 215.98 : x
  2. Step 2: Convert to fraction form
    262.75/362.06 = 215.98/x
  3. Step 3: Cross multiply
    262.75x = 362.06 × 215.98
  4. Step 4: Simplify right side
    262.75x = 78,197.72
  5. Step 5: Solve for x
    x = 78,197.72/262.75
  6. Step 6: Final answer
    x = 297.61

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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.