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Finding the Fourth Proportional to 255.41, 383.23 and 139.94

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Solution

The fourth proportional to 255.41, 383.23 and 139.94 is: 209.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.41 : 383.23 = 139.94 : x
  2. Step 2: Convert to fraction form
    255.41/383.23 = 139.94/x
  3. Step 3: Cross multiply
    255.41x = 383.23 × 139.94
  4. Step 4: Simplify right side
    255.41x = 53,629.21
  5. Step 5: Solve for x
    x = 53,629.21/255.41
  6. Step 6: Final answer
    x = 209.97

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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.