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Finding the Fourth Proportional to 421.36, 580.10 and 327.98

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Solution

The fourth proportional to 421.36, 580.10 and 327.98 is: 451.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.36 : 580.10 = 327.98 : x
  2. Step 2: Convert to fraction form
    421.36/580.10 = 327.98/x
  3. Step 3: Cross multiply
    421.36x = 580.10 × 327.98
  4. Step 4: Simplify right side
    421.36x = 190,261.20
  5. Step 5: Solve for x
    x = 190,261.20/421.36
  6. Step 6: Final answer
    x = 451.54

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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.