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Finding the Fourth Proportional to 328.45, 490.50 and 310.68

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Solution

The fourth proportional to 328.45, 490.50 and 310.68 is: 463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.45 : 490.50 = 310.68 : x
  2. Step 2: Convert to fraction form
    328.45/490.50 = 310.68/x
  3. Step 3: Cross multiply
    328.45x = 490.50 × 310.68
  4. Step 4: Simplify right side
    328.45x = 152,388.54
  5. Step 5: Solve for x
    x = 152,388.54/328.45
  6. Step 6: Final answer
    x = 463.96

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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.