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Finding the Fourth Proportional to 325.44, 447.58 and 284.03

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Solution

The fourth proportional to 325.44, 447.58 and 284.03 is: 390.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.44 : 447.58 = 284.03 : x
  2. Step 2: Convert to fraction form
    325.44/447.58 = 284.03/x
  3. Step 3: Cross multiply
    325.44x = 447.58 × 284.03
  4. Step 4: Simplify right side
    325.44x = 127,126.15
  5. Step 5: Solve for x
    x = 127,126.15/325.44
  6. Step 6: Final answer
    x = 390.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.