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Finding the Fourth Proportional to 383.68, 574.67 and 296.38

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Solution

The fourth proportional to 383.68, 574.67 and 296.38 is: 443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.68 : 574.67 = 296.38 : x
  2. Step 2: Convert to fraction form
    383.68/574.67 = 296.38/x
  3. Step 3: Cross multiply
    383.68x = 574.67 × 296.38
  4. Step 4: Simplify right side
    383.68x = 170,320.69
  5. Step 5: Solve for x
    x = 170,320.69/383.68
  6. Step 6: Final answer
    x = 443.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.