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Finding the Fourth Proportional to 255.42, 351.62 and 243.80

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Solution

The fourth proportional to 255.42, 351.62 and 243.80 is: 335.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.42 : 351.62 = 243.80 : x
  2. Step 2: Convert to fraction form
    255.42/351.62 = 243.80/x
  3. Step 3: Cross multiply
    255.42x = 351.62 × 243.80
  4. Step 4: Simplify right side
    255.42x = 85,724.96
  5. Step 5: Solve for x
    x = 85,724.96/255.42
  6. Step 6: Final answer
    x = 335.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.