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Finding the Fourth Proportional to 303.80, 422.13 and 299.93

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Solution

The fourth proportional to 303.80, 422.13 and 299.93 is: 416.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.80 : 422.13 = 299.93 : x
  2. Step 2: Convert to fraction form
    303.80/422.13 = 299.93/x
  3. Step 3: Cross multiply
    303.80x = 422.13 × 299.93
  4. Step 4: Simplify right side
    303.80x = 126,607.34
  5. Step 5: Solve for x
    x = 126,607.34/303.80
  6. Step 6: Final answer
    x = 416.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.