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Finding the Fourth Proportional to 325.88, 489.30 and 285.56

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Solution

The fourth proportional to 325.88, 489.30 and 285.56 is: 428.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.88 : 489.30 = 285.56 : x
  2. Step 2: Convert to fraction form
    325.88/489.30 = 285.56/x
  3. Step 3: Cross multiply
    325.88x = 489.30 × 285.56
  4. Step 4: Simplify right side
    325.88x = 139,724.51
  5. Step 5: Solve for x
    x = 139,724.51/325.88
  6. Step 6: Final answer
    x = 428.76

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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.