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Finding the Fourth Proportional to 353.82, 488.06 and 255.46

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Solution

The fourth proportional to 353.82, 488.06 and 255.46 is: 352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.82 : 488.06 = 255.46 : x
  2. Step 2: Convert to fraction form
    353.82/488.06 = 255.46/x
  3. Step 3: Cross multiply
    353.82x = 488.06 × 255.46
  4. Step 4: Simplify right side
    353.82x = 124,679.81
  5. Step 5: Solve for x
    x = 124,679.81/353.82
  6. Step 6: Final answer
    x = 352.38

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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.