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Finding the Fourth Proportional to 255.91, 381.90 and 228.57

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Solution

The fourth proportional to 255.91, 381.90 and 228.57 is: 341.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.91 : 381.90 = 228.57 : x
  2. Step 2: Convert to fraction form
    255.91/381.90 = 228.57/x
  3. Step 3: Cross multiply
    255.91x = 381.90 × 228.57
  4. Step 4: Simplify right side
    255.91x = 87,290.03
  5. Step 5: Solve for x
    x = 87,290.03/255.91
  6. Step 6: Final answer
    x = 341.10

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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.