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Finding the Fourth Proportional to 811.88, 1,218.30 and 299.24

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Solution

The fourth proportional to 811.88, 1,218.30 and 299.24 is: 449.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.88 : 1,218.30 = 299.24 : x
  2. Step 2: Convert to fraction form
    811.88/1,218.30 = 299.24/x
  3. Step 3: Cross multiply
    811.88x = 1,218.30 × 299.24
  4. Step 4: Simplify right side
    811.88x = 364,564.09
  5. Step 5: Solve for x
    x = 364,564.09/811.88
  6. Step 6: Final answer
    x = 449.04

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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.