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Finding the Fourth Proportional to 305.99, 422.82 and 222.95

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Solution

The fourth proportional to 305.99, 422.82 and 222.95 is: 308.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.99 : 422.82 = 222.95 : x
  2. Step 2: Convert to fraction form
    305.99/422.82 = 222.95/x
  3. Step 3: Cross multiply
    305.99x = 422.82 × 222.95
  4. Step 4: Simplify right side
    305.99x = 94,267.19
  5. Step 5: Solve for x
    x = 94,267.19/305.99
  6. Step 6: Final answer
    x = 308.08

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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.