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Finding the Fourth Proportional to 803.30, 1,204.63 and 255.34

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Solution

The fourth proportional to 803.30, 1,204.63 and 255.34 is: 382.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.30 : 1,204.63 = 255.34 : x
  2. Step 2: Convert to fraction form
    803.30/1,204.63 = 255.34/x
  3. Step 3: Cross multiply
    803.30x = 1,204.63 × 255.34
  4. Step 4: Simplify right side
    803.30x = 307,590.22
  5. Step 5: Solve for x
    x = 307,590.22/803.30
  6. Step 6: Final answer
    x = 382.91

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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.