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Finding the Fourth Proportional to 330.37, 495.20 and 214.54

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Solution

The fourth proportional to 330.37, 495.20 and 214.54 is: 321.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.37 : 495.20 = 214.54 : x
  2. Step 2: Convert to fraction form
    330.37/495.20 = 214.54/x
  3. Step 3: Cross multiply
    330.37x = 495.20 × 214.54
  4. Step 4: Simplify right side
    330.37x = 106,239.51
  5. Step 5: Solve for x
    x = 106,239.51/330.37
  6. Step 6: Final answer
    x = 321.58

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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.