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Finding the Fourth Proportional to 330, 455.46 and 213.66

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Solution

The fourth proportional to 330, 455.46 and 213.66 is: 294.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    330 : 455.46 = 213.66 : x
  2. Step 2: Convert to fraction form
    330/455.46 = 213.66/x
  3. Step 3: Cross multiply
    330x = 455.46 × 213.66
  4. Step 4: Simplify right side
    330x = 97,313.58
  5. Step 5: Solve for x
    x = 97,313.58/330
  6. Step 6: Final answer
    x = 294.89

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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.