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Finding the Fourth Proportional to 351.98, 485.74 and 212.15

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Solution

The fourth proportional to 351.98, 485.74 and 212.15 is: 292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.98 : 485.74 = 212.15 : x
  2. Step 2: Convert to fraction form
    351.98/485.74 = 212.15/x
  3. Step 3: Cross multiply
    351.98x = 485.74 × 212.15
  4. Step 4: Simplify right side
    351.98x = 103,049.74
  5. Step 5: Solve for x
    x = 103,049.74/351.98
  6. Step 6: Final answer
    x = 292.77

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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.