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Finding the Fourth Proportional to 351.61, 485.21 and 204.23

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Solution

The fourth proportional to 351.61, 485.21 and 204.23 is: 281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.61 : 485.21 = 204.23 : x
  2. Step 2: Convert to fraction form
    351.61/485.21 = 204.23/x
  3. Step 3: Cross multiply
    351.61x = 485.21 × 204.23
  4. Step 4: Simplify right side
    351.61x = 99,094.63
  5. Step 5: Solve for x
    x = 99,094.63/351.61
  6. Step 6: Final answer
    x = 281.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.