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Finding the Fourth Proportional to 383.94, 526.46 and 379.08

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Solution

The fourth proportional to 383.94, 526.46 and 379.08 is: 519.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.94 : 526.46 = 379.08 : x
  2. Step 2: Convert to fraction form
    383.94/526.46 = 379.08/x
  3. Step 3: Cross multiply
    383.94x = 526.46 × 379.08
  4. Step 4: Simplify right side
    383.94x = 199,568.56
  5. Step 5: Solve for x
    x = 199,568.56/383.94
  6. Step 6: Final answer
    x = 519.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.