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Finding the Fourth Proportional to 383.79, 574.80 and 301.33

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Solution

The fourth proportional to 383.79, 574.80 and 301.33 is: 451.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.79 : 574.80 = 301.33 : x
  2. Step 2: Convert to fraction form
    383.79/574.80 = 301.33/x
  3. Step 3: Cross multiply
    383.79x = 574.80 × 301.33
  4. Step 4: Simplify right side
    383.79x = 173,204.92
  5. Step 5: Solve for x
    x = 173,204.92/383.79
  6. Step 6: Final answer
    x = 451.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.