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Finding the Fourth Proportional to 303.95, 419.04 and 221.06

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Solution

The fourth proportional to 303.95, 419.04 and 221.06 is: 304.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.95 : 419.04 = 221.06 : x
  2. Step 2: Convert to fraction form
    303.95/419.04 = 221.06/x
  3. Step 3: Cross multiply
    303.95x = 419.04 × 221.06
  4. Step 4: Simplify right side
    303.95x = 92,634.03
  5. Step 5: Solve for x
    x = 92,634.03/303.95
  6. Step 6: Final answer
    x = 304.76

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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.