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Finding the Fourth Proportional to 255.77, 381.99 and 209.60

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Solution

The fourth proportional to 255.77, 381.99 and 209.60 is: 313.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.77 : 381.99 = 209.60 : x
  2. Step 2: Convert to fraction form
    255.77/381.99 = 209.60/x
  3. Step 3: Cross multiply
    255.77x = 381.99 × 209.60
  4. Step 4: Simplify right side
    255.77x = 80,063.19
  5. Step 5: Solve for x
    x = 80,063.19/255.77
  6. Step 6: Final answer
    x = 313.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.