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Finding the Fourth Proportional to 255.48, 381.54 and 228.36

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Solution

The fourth proportional to 255.48, 381.54 and 228.36 is: 341.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.48 : 381.54 = 228.36 : x
  2. Step 2: Convert to fraction form
    255.48/381.54 = 228.36/x
  3. Step 3: Cross multiply
    255.48x = 381.54 × 228.36
  4. Step 4: Simplify right side
    255.48x = 87,128.47
  5. Step 5: Solve for x
    x = 87,128.47/255.48
  6. Step 6: Final answer
    x = 341.04

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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.