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Finding the Fourth Proportional to 328.77, 490.25 and 283.41

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Solution

The fourth proportional to 328.77, 490.25 and 283.41 is: 422.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.77 : 490.25 = 283.41 : x
  2. Step 2: Convert to fraction form
    328.77/490.25 = 283.41/x
  3. Step 3: Cross multiply
    328.77x = 490.25 × 283.41
  4. Step 4: Simplify right side
    328.77x = 138,942.46
  5. Step 5: Solve for x
    x = 138,942.46/328.77
  6. Step 6: Final answer
    x = 422.61

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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.