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Finding the Fourth Proportional to 306.58, 422.18 and 299.77

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Solution

The fourth proportional to 306.58, 422.18 and 299.77 is: 412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.58 : 422.18 = 299.77 : x
  2. Step 2: Convert to fraction form
    306.58/422.18 = 299.77/x
  3. Step 3: Cross multiply
    306.58x = 422.18 × 299.77
  4. Step 4: Simplify right side
    306.58x = 126,555.40
  5. Step 5: Solve for x
    x = 126,555.40/306.58
  6. Step 6: Final answer
    x = 412.80

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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.