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Finding the Fourth Proportional to 255.94, 383.37 and 194.92

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Solution

The fourth proportional to 255.94, 383.37 and 194.92 is: 291.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.94 : 383.37 = 194.92 : x
  2. Step 2: Convert to fraction form
    255.94/383.37 = 194.92/x
  3. Step 3: Cross multiply
    255.94x = 383.37 × 194.92
  4. Step 4: Simplify right side
    255.94x = 74,726.48
  5. Step 5: Solve for x
    x = 74,726.48/255.94
  6. Step 6: Final answer
    x = 291.97

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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.