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Finding the Fourth Proportional to 305.80, 421.64 and 222.64

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Solution

The fourth proportional to 305.80, 421.64 and 222.64 is: 306.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.80 : 421.64 = 222.64 : x
  2. Step 2: Convert to fraction form
    305.80/421.64 = 222.64/x
  3. Step 3: Cross multiply
    305.80x = 421.64 × 222.64
  4. Step 4: Simplify right side
    305.80x = 93,873.93
  5. Step 5: Solve for x
    x = 93,873.93/305.80
  6. Step 6: Final answer
    x = 306.98

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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.