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Finding the Fourth Proportional to 325.89, 489.74 and 234.77

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Solution

The fourth proportional to 325.89, 489.74 and 234.77 is: 352.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.89 : 489.74 = 234.77 : x
  2. Step 2: Convert to fraction form
    325.89/489.74 = 234.77/x
  3. Step 3: Cross multiply
    325.89x = 489.74 × 234.77
  4. Step 4: Simplify right side
    325.89x = 114,972.64
  5. Step 5: Solve for x
    x = 114,972.64/325.89
  6. Step 6: Final answer
    x = 352.80

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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.