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Finding the Fourth Proportional to 255.74, 381.51 and 228.41

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Solution

The fourth proportional to 255.74, 381.51 and 228.41 is: 340.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.74 : 381.51 = 228.41 : x
  2. Step 2: Convert to fraction form
    255.74/381.51 = 228.41/x
  3. Step 3: Cross multiply
    255.74x = 381.51 × 228.41
  4. Step 4: Simplify right side
    255.74x = 87,140.70
  5. Step 5: Solve for x
    x = 87,140.70/255.74
  6. Step 6: Final answer
    x = 340.74

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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.