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Finding the Fourth Proportional to 330.13, 455.25 and 219.57

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Solution

The fourth proportional to 330.13, 455.25 and 219.57 is: 302.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.13 : 455.25 = 219.57 : x
  2. Step 2: Convert to fraction form
    330.13/455.25 = 219.57/x
  3. Step 3: Cross multiply
    330.13x = 455.25 × 219.57
  4. Step 4: Simplify right side
    330.13x = 99,959.24
  5. Step 5: Solve for x
    x = 99,959.24/330.13
  6. Step 6: Final answer
    x = 302.79

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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.