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Finding the Fourth Proportional to 445.25, 668.28 and 342.20

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Solution

The fourth proportional to 445.25, 668.28 and 342.20 is: 513.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.25 : 668.28 = 342.20 : x
  2. Step 2: Convert to fraction form
    445.25/668.28 = 342.20/x
  3. Step 3: Cross multiply
    445.25x = 668.28 × 342.20
  4. Step 4: Simplify right side
    445.25x = 228,688.37
  5. Step 5: Solve for x
    x = 228,688.37/445.25
  6. Step 6: Final answer
    x = 513.62

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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.