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Finding the Fourth Proportional to 325.73, 489.05 and 215.72

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Solution

The fourth proportional to 325.73, 489.05 and 215.72 is: 323.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.73 : 489.05 = 215.72 : x
  2. Step 2: Convert to fraction form
    325.73/489.05 = 215.72/x
  3. Step 3: Cross multiply
    325.73x = 489.05 × 215.72
  4. Step 4: Simplify right side
    325.73x = 105,499.63
  5. Step 5: Solve for x
    x = 105,499.63/325.73
  6. Step 6: Final answer
    x = 323.88

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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.