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Finding the Fourth Proportional to 325.10, 489.54 and 234.42

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Solution

The fourth proportional to 325.10, 489.54 and 234.42 is: 352.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.10 : 489.54 = 234.42 : x
  2. Step 2: Convert to fraction form
    325.10/489.54 = 234.42/x
  3. Step 3: Cross multiply
    325.10x = 489.54 × 234.42
  4. Step 4: Simplify right side
    325.10x = 114,757.97
  5. Step 5: Solve for x
    x = 114,757.97/325.10
  6. Step 6: Final answer
    x = 352.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.