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Finding the Fourth Proportional to 325.76, 489.52 and 305

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Solution

The fourth proportional to 325.76, 489.52 and 305 is: 458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.76 : 489.52 = 305 : x
  2. Step 2: Convert to fraction form
    325.76/489.52 = 305/x
  3. Step 3: Cross multiply
    325.76x = 489.52 × 305
  4. Step 4: Simplify right side
    325.76x = 149,303.60
  5. Step 5: Solve for x
    x = 149,303.60/325.76
  6. Step 6: Final answer
    x = 458.32

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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.