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Finding the Fourth Proportional to 368.54, 506.94 and 353.55

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Solution

The fourth proportional to 368.54, 506.94 and 353.55 is: 486.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.54 : 506.94 = 353.55 : x
  2. Step 2: Convert to fraction form
    368.54/506.94 = 353.55/x
  3. Step 3: Cross multiply
    368.54x = 506.94 × 353.55
  4. Step 4: Simplify right side
    368.54x = 179,228.64
  5. Step 5: Solve for x
    x = 179,228.64/368.54
  6. Step 6: Final answer
    x = 486.33

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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.