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Finding the Fourth Proportional to 383.02, 525.39 and 379.73

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Solution

The fourth proportional to 383.02, 525.39 and 379.73 is: 520.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.02 : 525.39 = 379.73 : x
  2. Step 2: Convert to fraction form
    383.02/525.39 = 379.73/x
  3. Step 3: Cross multiply
    383.02x = 525.39 × 379.73
  4. Step 4: Simplify right side
    383.02x = 199,502.29
  5. Step 5: Solve for x
    x = 199,502.29/383.02
  6. Step 6: Final answer
    x = 520.87

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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.