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Finding the Fourth Proportional to 818.89, 1,228.70 and 271.15

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Solution

The fourth proportional to 818.89, 1,228.70 and 271.15 is: 406.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.89 : 1,228.70 = 271.15 : x
  2. Step 2: Convert to fraction form
    818.89/1,228.70 = 271.15/x
  3. Step 3: Cross multiply
    818.89x = 1,228.70 × 271.15
  4. Step 4: Simplify right side
    818.89x = 333,160.65
  5. Step 5: Solve for x
    x = 333,160.65/818.89
  6. Step 6: Final answer
    x = 406.84

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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.