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Finding the Fourth Proportional to 351.46, 484.97 and 211.60

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Solution

The fourth proportional to 351.46, 484.97 and 211.60 is: 291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.46 : 484.97 = 211.60 : x
  2. Step 2: Convert to fraction form
    351.46/484.97 = 211.60/x
  3. Step 3: Cross multiply
    351.46x = 484.97 × 211.60
  4. Step 4: Simplify right side
    351.46x = 102,617.66
  5. Step 5: Solve for x
    x = 102,617.66/351.46
  6. Step 6: Final answer
    x = 291.98

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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.