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Finding the Fourth Proportional to 818.95, 1,228.16 and 271.00

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Solution

The fourth proportional to 818.95, 1,228.16 and 271.00 is: 406.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.95 : 1,228.16 = 271.00 : x
  2. Step 2: Convert to fraction form
    818.95/1,228.16 = 271.00/x
  3. Step 3: Cross multiply
    818.95x = 1,228.16 × 271.00
  4. Step 4: Simplify right side
    818.95x = 332,832.72
  5. Step 5: Solve for x
    x = 332,832.72/818.95
  6. Step 6: Final answer
    x = 406.41

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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.