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Finding the Fourth Proportional to 325.76, 443.53 and 324.73

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Solution

The fourth proportional to 325.76, 443.53 and 324.73 is: 442.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.76 : 443.53 = 324.73 : x
  2. Step 2: Convert to fraction form
    325.76/443.53 = 324.73/x
  3. Step 3: Cross multiply
    325.76x = 443.53 × 324.73
  4. Step 4: Simplify right side
    325.76x = 144,027.50
  5. Step 5: Solve for x
    x = 144,027.50/325.76
  6. Step 6: Final answer
    x = 442.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.