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Finding the Fourth Proportional to 306.63, 423.02 and 190.13

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Solution

The fourth proportional to 306.63, 423.02 and 190.13 is: 262.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.63 : 423.02 = 190.13 : x
  2. Step 2: Convert to fraction form
    306.63/423.02 = 190.13/x
  3. Step 3: Cross multiply
    306.63x = 423.02 × 190.13
  4. Step 4: Simplify right side
    306.63x = 80,425.73
  5. Step 5: Solve for x
    x = 80,425.73/306.63
  6. Step 6: Final answer
    x = 262.29

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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.