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Finding the Fourth Proportional to 255.21, 381.27 and 253.86

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Solution

The fourth proportional to 255.21, 381.27 and 253.86 is: 379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.21 : 381.27 = 253.86 : x
  2. Step 2: Convert to fraction form
    255.21/381.27 = 253.86/x
  3. Step 3: Cross multiply
    255.21x = 381.27 × 253.86
  4. Step 4: Simplify right side
    255.21x = 96,789.20
  5. Step 5: Solve for x
    x = 96,789.20/255.21
  6. Step 6: Final answer
    x = 379.25

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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.