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Finding the Fourth Proportional to 326.94, 489.34 and 314.18

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Solution

The fourth proportional to 326.94, 489.34 and 314.18 is: 470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.94 : 489.34 = 314.18 : x
  2. Step 2: Convert to fraction form
    326.94/489.34 = 314.18/x
  3. Step 3: Cross multiply
    326.94x = 489.34 × 314.18
  4. Step 4: Simplify right side
    326.94x = 153,740.62
  5. Step 5: Solve for x
    x = 153,740.62/326.94
  6. Step 6: Final answer
    x = 470.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.