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Finding the Fourth Proportional to 328.86, 489.83 and 324.59

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Solution

The fourth proportional to 328.86, 489.83 and 324.59 is: 483.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.86 : 489.83 = 324.59 : x
  2. Step 2: Convert to fraction form
    328.86/489.83 = 324.59/x
  3. Step 3: Cross multiply
    328.86x = 489.83 × 324.59
  4. Step 4: Simplify right side
    328.86x = 158,989.85
  5. Step 5: Solve for x
    x = 158,989.85/328.86
  6. Step 6: Final answer
    x = 483.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.