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Finding the Fourth Proportional to 383.95, 575.73 and 188.97

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Solution

The fourth proportional to 383.95, 575.73 and 188.97 is: 283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.95 : 575.73 = 188.97 : x
  2. Step 2: Convert to fraction form
    383.95/575.73 = 188.97/x
  3. Step 3: Cross multiply
    383.95x = 575.73 × 188.97
  4. Step 4: Simplify right side
    383.95x = 108,795.70
  5. Step 5: Solve for x
    x = 108,795.70/383.95
  6. Step 6: Final answer
    x = 283.36

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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.