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Finding the Fourth Proportional to 423.37, 585.03 and 306.73

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Solution

The fourth proportional to 423.37, 585.03 and 306.73 is: 423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.37 : 585.03 = 306.73 : x
  2. Step 2: Convert to fraction form
    423.37/585.03 = 306.73/x
  3. Step 3: Cross multiply
    423.37x = 585.03 × 306.73
  4. Step 4: Simplify right side
    423.37x = 179,446.25
  5. Step 5: Solve for x
    x = 179,446.25/423.37
  6. Step 6: Final answer
    x = 423.85

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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.