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Finding the Fourth Proportional to 328.66, 489.34 and 308.61

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Solution

The fourth proportional to 328.66, 489.34 and 308.61 is: 459.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.66 : 489.34 = 308.61 : x
  2. Step 2: Convert to fraction form
    328.66/489.34 = 308.61/x
  3. Step 3: Cross multiply
    328.66x = 489.34 × 308.61
  4. Step 4: Simplify right side
    328.66x = 151,015.60
  5. Step 5: Solve for x
    x = 151,015.60/328.66
  6. Step 6: Final answer
    x = 459.49

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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.