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Finding the Fourth Proportional to 383.91, 573.26 and 306

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Solution

The fourth proportional to 383.91, 573.26 and 306 is: 456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.91 : 573.26 = 306 : x
  2. Step 2: Convert to fraction form
    383.91/573.26 = 306/x
  3. Step 3: Cross multiply
    383.91x = 573.26 × 306
  4. Step 4: Simplify right side
    383.91x = 175,416.03
  5. Step 5: Solve for x
    x = 175,416.03/383.91
  6. Step 6: Final answer
    x = 456.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.