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Finding the Fourth Proportional to 821.15, 1,231.69 and 204.83

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Solution

The fourth proportional to 821.15, 1,231.69 and 204.83 is: 307.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.15 : 1,231.69 = 204.83 : x
  2. Step 2: Convert to fraction form
    821.15/1,231.69 = 204.83/x
  3. Step 3: Cross multiply
    821.15x = 1,231.69 × 204.83
  4. Step 4: Simplify right side
    821.15x = 252,287.06
  5. Step 5: Solve for x
    x = 252,287.06/821.15
  6. Step 6: Final answer
    x = 307.24

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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.