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Finding the Fourth Proportional to 330.09, 494.87 and 214.26

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Solution

The fourth proportional to 330.09, 494.87 and 214.26 is: 321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.09 : 494.87 = 214.26 : x
  2. Step 2: Convert to fraction form
    330.09/494.87 = 214.26/x
  3. Step 3: Cross multiply
    330.09x = 494.87 × 214.26
  4. Step 4: Simplify right side
    330.09x = 106,029.77
  5. Step 5: Solve for x
    x = 106,029.77/330.09
  6. Step 6: Final answer
    x = 321.21

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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.