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Finding the Fourth Proportional to 383.94, 573.51 and 252.86

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Solution

The fourth proportional to 383.94, 573.51 and 252.86 is: 377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.94 : 573.51 = 252.86 : x
  2. Step 2: Convert to fraction form
    383.94/573.51 = 252.86/x
  3. Step 3: Cross multiply
    383.94x = 573.51 × 252.86
  4. Step 4: Simplify right side
    383.94x = 145,015.82
  5. Step 5: Solve for x
    x = 145,015.82/383.94
  6. Step 6: Final answer
    x = 377.70

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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.