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Finding the Fourth Proportional to 255.12, 383.08 and 213.94

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Solution

The fourth proportional to 255.12, 383.08 and 213.94 is: 321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.12 : 383.08 = 213.94 : x
  2. Step 2: Convert to fraction form
    255.12/383.08 = 213.94/x
  3. Step 3: Cross multiply
    255.12x = 383.08 × 213.94
  4. Step 4: Simplify right side
    255.12x = 81,956.14
  5. Step 5: Solve for x
    x = 81,956.14/255.12
  6. Step 6: Final answer
    x = 321.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.