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Finding the Fourth Proportional to 255.10, 349.46 and 233.23

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Solution

The fourth proportional to 255.10, 349.46 and 233.23 is: 319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.10 : 349.46 = 233.23 : x
  2. Step 2: Convert to fraction form
    255.10/349.46 = 233.23/x
  3. Step 3: Cross multiply
    255.10x = 349.46 × 233.23
  4. Step 4: Simplify right side
    255.10x = 81,504.56
  5. Step 5: Solve for x
    x = 81,504.56/255.10
  6. Step 6: Final answer
    x = 319.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.