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Finding the Fourth Proportional to 255.46, 380.39 and 233.68

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Solution

The fourth proportional to 255.46, 380.39 and 233.68 is: 347.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.46 : 380.39 = 233.68 : x
  2. Step 2: Convert to fraction form
    255.46/380.39 = 233.68/x
  3. Step 3: Cross multiply
    255.46x = 380.39 × 233.68
  4. Step 4: Simplify right side
    255.46x = 88,889.54
  5. Step 5: Solve for x
    x = 88,889.54/255.46
  6. Step 6: Final answer
    x = 347.96

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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.