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Finding the Fourth Proportional to 383.67, 528.96 and 378.51

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Solution

The fourth proportional to 383.67, 528.96 and 378.51 is: 521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.67 : 528.96 = 378.51 : x
  2. Step 2: Convert to fraction form
    383.67/528.96 = 378.51/x
  3. Step 3: Cross multiply
    383.67x = 528.96 × 378.51
  4. Step 4: Simplify right side
    383.67x = 200,216.65
  5. Step 5: Solve for x
    x = 200,216.65/383.67
  6. Step 6: Final answer
    x = 521.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.