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Finding the Fourth Proportional to 383.08, 527.87 and 378.04

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Solution

The fourth proportional to 383.08, 527.87 and 378.04 is: 520.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.08 : 527.87 = 378.04 : x
  2. Step 2: Convert to fraction form
    383.08/527.87 = 378.04/x
  3. Step 3: Cross multiply
    383.08x = 527.87 × 378.04
  4. Step 4: Simplify right side
    383.08x = 199,555.97
  5. Step 5: Solve for x
    x = 199,555.97/383.08
  6. Step 6: Final answer
    x = 520.93

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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.