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Finding the Fourth Proportional to 255.24, 381.01 and 211.88

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Solution

The fourth proportional to 255.24, 381.01 and 211.88 is: 316.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.24 : 381.01 = 211.88 : x
  2. Step 2: Convert to fraction form
    255.24/381.01 = 211.88/x
  3. Step 3: Cross multiply
    255.24x = 381.01 × 211.88
  4. Step 4: Simplify right side
    255.24x = 80,728.40
  5. Step 5: Solve for x
    x = 80,728.40/255.24
  6. Step 6: Final answer
    x = 316.28

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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.