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Finding the Fourth Proportional to 255.33, 380.84 and 247.64

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Solution

The fourth proportional to 255.33, 380.84 and 247.64 is: 369.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.33 : 380.84 = 247.64 : x
  2. Step 2: Convert to fraction form
    255.33/380.84 = 247.64/x
  3. Step 3: Cross multiply
    255.33x = 380.84 × 247.64
  4. Step 4: Simplify right side
    255.33x = 94,311.22
  5. Step 5: Solve for x
    x = 94,311.22/255.33
  6. Step 6: Final answer
    x = 369.37

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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.