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Finding the Fourth Proportional to 320.46, 478.02 and 298.19

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Solution

The fourth proportional to 320.46, 478.02 and 298.19 is: 444.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.46 : 478.02 = 298.19 : x
  2. Step 2: Convert to fraction form
    320.46/478.02 = 298.19/x
  3. Step 3: Cross multiply
    320.46x = 478.02 × 298.19
  4. Step 4: Simplify right side
    320.46x = 142,540.78
  5. Step 5: Solve for x
    x = 142,540.78/320.46
  6. Step 6: Final answer
    x = 444.80

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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.