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Finding the Fourth Proportional to 255.14, 384.63 and 238.43

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Solution

The fourth proportional to 255.14, 384.63 and 238.43 is: 359.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.14 : 384.63 = 238.43 : x
  2. Step 2: Convert to fraction form
    255.14/384.63 = 238.43/x
  3. Step 3: Cross multiply
    255.14x = 384.63 × 238.43
  4. Step 4: Simplify right side
    255.14x = 91,707.33
  5. Step 5: Solve for x
    x = 91,707.33/255.14
  6. Step 6: Final answer
    x = 359.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.