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Finding the Fourth Proportional to 383.05, 528.59 and 208.39

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Solution

The fourth proportional to 383.05, 528.59 and 208.39 is: 287.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.05 : 528.59 = 208.39 : x
  2. Step 2: Convert to fraction form
    383.05/528.59 = 208.39/x
  3. Step 3: Cross multiply
    383.05x = 528.59 × 208.39
  4. Step 4: Simplify right side
    383.05x = 110,152.87
  5. Step 5: Solve for x
    x = 110,152.87/383.05
  6. Step 6: Final answer
    x = 287.57

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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.