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Finding the Fourth Proportional to 383.86, 573.73 and 353.11

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Solution

The fourth proportional to 383.86, 573.73 and 353.11 is: 527.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.86 : 573.73 = 353.11 : x
  2. Step 2: Convert to fraction form
    383.86/573.73 = 353.11/x
  3. Step 3: Cross multiply
    383.86x = 573.73 × 353.11
  4. Step 4: Simplify right side
    383.86x = 202,589.80
  5. Step 5: Solve for x
    x = 202,589.80/383.86
  6. Step 6: Final answer
    x = 527.77

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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.