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Finding the Fourth Proportional to 342.26, 511.64 and 255.54

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Solution

The fourth proportional to 342.26, 511.64 and 255.54 is: 382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.26 : 511.64 = 255.54 : x
  2. Step 2: Convert to fraction form
    342.26/511.64 = 255.54/x
  3. Step 3: Cross multiply
    342.26x = 511.64 × 255.54
  4. Step 4: Simplify right side
    342.26x = 130,744.49
  5. Step 5: Solve for x
    x = 130,744.49/342.26
  6. Step 6: Final answer
    x = 382.00

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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.