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Finding the Fourth Proportional to 383.94, 573.12 and 335.34

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Solution

The fourth proportional to 383.94, 573.12 and 335.34 is: 500.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.94 : 573.12 = 335.34 : x
  2. Step 2: Convert to fraction form
    383.94/573.12 = 335.34/x
  3. Step 3: Cross multiply
    383.94x = 573.12 × 335.34
  4. Step 4: Simplify right side
    383.94x = 192,190.06
  5. Step 5: Solve for x
    x = 192,190.06/383.94
  6. Step 6: Final answer
    x = 500.57

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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.