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Finding the Fourth Proportional to 328.60, 490.73 and 283.06

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Solution

The fourth proportional to 328.60, 490.73 and 283.06 is: 422.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.60 : 490.73 = 283.06 : x
  2. Step 2: Convert to fraction form
    328.60/490.73 = 283.06/x
  3. Step 3: Cross multiply
    328.60x = 490.73 × 283.06
  4. Step 4: Simplify right side
    328.60x = 138,906.03
  5. Step 5: Solve for x
    x = 138,906.03/328.60
  6. Step 6: Final answer
    x = 422.72

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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.