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Finding the Fourth Proportional to 330.94, 456.72 and 220.34

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Solution

The fourth proportional to 330.94, 456.72 and 220.34 is: 304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.94 : 456.72 = 220.34 : x
  2. Step 2: Convert to fraction form
    330.94/456.72 = 220.34/x
  3. Step 3: Cross multiply
    330.94x = 456.72 × 220.34
  4. Step 4: Simplify right side
    330.94x = 100,633.68
  5. Step 5: Solve for x
    x = 100,633.68/330.94
  6. Step 6: Final answer
    x = 304.08

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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.