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Finding the Fourth Proportional to 383.65, 575.07 and 188.38

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Solution

The fourth proportional to 383.65, 575.07 and 188.38 is: 282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.65 : 575.07 = 188.38 : x
  2. Step 2: Convert to fraction form
    383.65/575.07 = 188.38/x
  3. Step 3: Cross multiply
    383.65x = 575.07 × 188.38
  4. Step 4: Simplify right side
    383.65x = 108,329.54
  5. Step 5: Solve for x
    x = 108,329.54/383.65
  6. Step 6: Final answer
    x = 282.37

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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.