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Finding the Fourth Proportional to 255.76, 381.64 and 228.48

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Solution

The fourth proportional to 255.76, 381.64 and 228.48 is: 340.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.76 : 381.64 = 228.48 : x
  2. Step 2: Convert to fraction form
    255.76/381.64 = 228.48/x
  3. Step 3: Cross multiply
    255.76x = 381.64 × 228.48
  4. Step 4: Simplify right side
    255.76x = 87,197.11
  5. Step 5: Solve for x
    x = 87,197.11/255.76
  6. Step 6: Final answer
    x = 340.93

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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.