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Finding the Fourth Proportional to 818.08, 1,226.88 and 233.05

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Solution

The fourth proportional to 818.08, 1,226.88 and 233.05 is: 349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.08 : 1,226.88 = 233.05 : x
  2. Step 2: Convert to fraction form
    818.08/1,226.88 = 233.05/x
  3. Step 3: Cross multiply
    818.08x = 1,226.88 × 233.05
  4. Step 4: Simplify right side
    818.08x = 285,924.38
  5. Step 5: Solve for x
    x = 285,924.38/818.08
  6. Step 6: Final answer
    x = 349.51

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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.