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Finding the Fourth Proportional to 328.76, 490.68 and 323.36

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Solution

The fourth proportional to 328.76, 490.68 and 323.36 is: 482.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.76 : 490.68 = 323.36 : x
  2. Step 2: Convert to fraction form
    328.76/490.68 = 323.36/x
  3. Step 3: Cross multiply
    328.76x = 490.68 × 323.36
  4. Step 4: Simplify right side
    328.76x = 158,666.28
  5. Step 5: Solve for x
    x = 158,666.28/328.76
  6. Step 6: Final answer
    x = 482.62

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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.