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Finding the Fourth Proportional to 330.49, 495.74 and 221.95

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Solution

The fourth proportional to 330.49, 495.74 and 221.95 is: 332.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.49 : 495.74 = 221.95 : x
  2. Step 2: Convert to fraction form
    330.49/495.74 = 221.95/x
  3. Step 3: Cross multiply
    330.49x = 495.74 × 221.95
  4. Step 4: Simplify right side
    330.49x = 110,029.49
  5. Step 5: Solve for x
    x = 110,029.49/330.49
  6. Step 6: Final answer
    x = 332.93

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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.