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Finding the Fourth Proportional to 330.41, 494.70 and 221.98

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Solution

The fourth proportional to 330.41, 494.70 and 221.98 is: 332.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.41 : 494.70 = 221.98 : x
  2. Step 2: Convert to fraction form
    330.41/494.70 = 221.98/x
  3. Step 3: Cross multiply
    330.41x = 494.70 × 221.98
  4. Step 4: Simplify right side
    330.41x = 109,811.03
  5. Step 5: Solve for x
    x = 109,811.03/330.41
  6. Step 6: Final answer
    x = 332.35

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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.