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Finding the Fourth Proportional to 818.35, 1,227.29 and 233.31

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Solution

The fourth proportional to 818.35, 1,227.29 and 233.31 is: 349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.35 : 1,227.29 = 233.31 : x
  2. Step 2: Convert to fraction form
    818.35/1,227.29 = 233.31/x
  3. Step 3: Cross multiply
    818.35x = 1,227.29 × 233.31
  4. Step 4: Simplify right side
    818.35x = 286,342.47
  5. Step 5: Solve for x
    x = 286,342.47/818.35
  6. Step 6: Final answer
    x = 349.90

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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.