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Finding the Fourth Proportional to 836.35, 1,254.40 and 220

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Solution

The fourth proportional to 836.35, 1,254.40 and 220 is: 329.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.35 : 1,254.40 = 220 : x
  2. Step 2: Convert to fraction form
    836.35/1,254.40 = 220/x
  3. Step 3: Cross multiply
    836.35x = 1,254.40 × 220
  4. Step 4: Simplify right side
    836.35x = 275,968
  5. Step 5: Solve for x
    x = 275,968/836.35
  6. Step 6: Final answer
    x = 329.97

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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.