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Finding the Fourth Proportional to 451.40, 675.54 and 327.60

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Solution

The fourth proportional to 451.40, 675.54 and 327.60 is: 490.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.40 : 675.54 = 327.60 : x
  2. Step 2: Convert to fraction form
    451.40/675.54 = 327.60/x
  3. Step 3: Cross multiply
    451.40x = 675.54 × 327.60
  4. Step 4: Simplify right side
    451.40x = 221,306.90
  5. Step 5: Solve for x
    x = 221,306.90/451.40
  6. Step 6: Final answer
    x = 490.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.