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Finding the Fourth Proportional to 383.44, 529.14 and 208.78

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Solution

The fourth proportional to 383.44, 529.14 and 208.78 is: 288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.44 : 529.14 = 208.78 : x
  2. Step 2: Convert to fraction form
    383.44/529.14 = 208.78/x
  3. Step 3: Cross multiply
    383.44x = 529.14 × 208.78
  4. Step 4: Simplify right side
    383.44x = 110,473.85
  5. Step 5: Solve for x
    x = 110,473.85/383.44
  6. Step 6: Final answer
    x = 288.11

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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.