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Finding the Fourth Proportional to 255.38, 381.08 and 228.04

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Solution

The fourth proportional to 255.38, 381.08 and 228.04 is: 340.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.38 : 381.08 = 228.04 : x
  2. Step 2: Convert to fraction form
    255.38/381.08 = 228.04/x
  3. Step 3: Cross multiply
    255.38x = 381.08 × 228.04
  4. Step 4: Simplify right side
    255.38x = 86,901.10
  5. Step 5: Solve for x
    x = 86,901.10/255.38
  6. Step 6: Final answer
    x = 340.29

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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.