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Finding the Fourth Proportional to 328.12, 490.80 and 283

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Solution

The fourth proportional to 328.12, 490.80 and 283 is: 423.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.12 : 490.80 = 283 : x
  2. Step 2: Convert to fraction form
    328.12/490.80 = 283/x
  3. Step 3: Cross multiply
    328.12x = 490.80 × 283
  4. Step 4: Simplify right side
    328.12x = 138,896.40
  5. Step 5: Solve for x
    x = 138,896.40/328.12
  6. Step 6: Final answer
    x = 423.31

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Why These Related Problems?

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