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Finding the Fourth Proportional to 354.22, 533.58 and 327.50

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Solution

The fourth proportional to 354.22, 533.58 and 327.50 is: 493.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.22 : 533.58 = 327.50 : x
  2. Step 2: Convert to fraction form
    354.22/533.58 = 327.50/x
  3. Step 3: Cross multiply
    354.22x = 533.58 × 327.50
  4. Step 4: Simplify right side
    354.22x = 174,745.81
  5. Step 5: Solve for x
    x = 174,745.81/354.22
  6. Step 6: Final answer
    x = 493.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.