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Finding the Fourth Proportional to 325.12, 485.76 and 270.72

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Solution

The fourth proportional to 325.12, 485.76 and 270.72 is: 404.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.12 : 485.76 = 270.72 : x
  2. Step 2: Convert to fraction form
    325.12/485.76 = 270.72/x
  3. Step 3: Cross multiply
    325.12x = 485.76 × 270.72
  4. Step 4: Simplify right side
    325.12x = 131,504.95
  5. Step 5: Solve for x
    x = 131,504.95/325.12
  6. Step 6: Final answer
    x = 404.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.