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Finding the Fourth Proportional to 803.46, 1,205.31 and 255.45

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Solution

The fourth proportional to 803.46, 1,205.31 and 255.45 is: 383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.46 : 1,205.31 = 255.45 : x
  2. Step 2: Convert to fraction form
    803.46/1,205.31 = 255.45/x
  3. Step 3: Cross multiply
    803.46x = 1,205.31 × 255.45
  4. Step 4: Simplify right side
    803.46x = 307,896.44
  5. Step 5: Solve for x
    x = 307,896.44/803.46
  6. Step 6: Final answer
    x = 383.21

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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.