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Finding the Fourth Proportional to 255.94, 383.76 and 119.07

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Solution

The fourth proportional to 255.94, 383.76 and 119.07 is: 178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.94 : 383.76 = 119.07 : x
  2. Step 2: Convert to fraction form
    255.94/383.76 = 119.07/x
  3. Step 3: Cross multiply
    255.94x = 383.76 × 119.07
  4. Step 4: Simplify right side
    255.94x = 45,694.30
  5. Step 5: Solve for x
    x = 45,694.30/255.94
  6. Step 6: Final answer
    x = 178.54

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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.