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Finding the Fourth Proportional to 325.96, 489.23 and 152.72

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Solution

The fourth proportional to 325.96, 489.23 and 152.72 is: 229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.96 : 489.23 = 152.72 : x
  2. Step 2: Convert to fraction form
    325.96/489.23 = 152.72/x
  3. Step 3: Cross multiply
    325.96x = 489.23 × 152.72
  4. Step 4: Simplify right side
    325.96x = 74,714.44
  5. Step 5: Solve for x
    x = 74,714.44/325.96
  6. Step 6: Final answer
    x = 229.21

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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.