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Finding the Fourth Proportional to 258.81, 385.50 and 255.80

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Solution

The fourth proportional to 258.81, 385.50 and 255.80 is: 381.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.81 : 385.50 = 255.80 : x
  2. Step 2: Convert to fraction form
    258.81/385.50 = 255.80/x
  3. Step 3: Cross multiply
    258.81x = 385.50 × 255.80
  4. Step 4: Simplify right side
    258.81x = 98,608.97
  5. Step 5: Solve for x
    x = 98,608.97/258.81
  6. Step 6: Final answer
    x = 381.01

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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.