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Finding the Fourth Proportional to 306.11, 421.84 and 253.73

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Solution

The fourth proportional to 306.11, 421.84 and 253.73 is: 349.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.11 : 421.84 = 253.73 : x
  2. Step 2: Convert to fraction form
    306.11/421.84 = 253.73/x
  3. Step 3: Cross multiply
    306.11x = 421.84 × 253.73
  4. Step 4: Simplify right side
    306.11x = 107,034.83
  5. Step 5: Solve for x
    x = 107,034.83/306.11
  6. Step 6: Final answer
    x = 349.66

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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.