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Finding the Fourth Proportional to 818.51, 1,227.76 and 263.21

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Solution

The fourth proportional to 818.51, 1,227.76 and 263.21 is: 394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.51 : 1,227.76 = 263.21 : x
  2. Step 2: Convert to fraction form
    818.51/1,227.76 = 263.21/x
  3. Step 3: Cross multiply
    818.51x = 1,227.76 × 263.21
  4. Step 4: Simplify right side
    818.51x = 323,151.91
  5. Step 5: Solve for x
    x = 323,151.91/818.51
  6. Step 6: Final answer
    x = 394.81

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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.