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Finding the Fourth Proportional to 305.19, 420.39 and 222.06

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Solution

The fourth proportional to 305.19, 420.39 and 222.06 is: 305.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.19 : 420.39 = 222.06 : x
  2. Step 2: Convert to fraction form
    305.19/420.39 = 222.06/x
  3. Step 3: Cross multiply
    305.19x = 420.39 × 222.06
  4. Step 4: Simplify right side
    305.19x = 93,351.80
  5. Step 5: Solve for x
    x = 93,351.80/305.19
  6. Step 6: Final answer
    x = 305.88

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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.