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Finding the Fourth Proportional to 818.32, 1,227.37 and 262.98

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Solution

The fourth proportional to 818.32, 1,227.37 and 262.98 is: 394.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.32 : 1,227.37 = 262.98 : x
  2. Step 2: Convert to fraction form
    818.32/1,227.37 = 262.98/x
  3. Step 3: Cross multiply
    818.32x = 1,227.37 × 262.98
  4. Step 4: Simplify right side
    818.32x = 322,773.76
  5. Step 5: Solve for x
    x = 322,773.76/818.32
  6. Step 6: Final answer
    x = 394.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.