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Finding the Fourth Proportional to 445.76, 668.94 and 283.28

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Solution

The fourth proportional to 445.76, 668.94 and 283.28 is: 425.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.76 : 668.94 = 283.28 : x
  2. Step 2: Convert to fraction form
    445.76/668.94 = 283.28/x
  3. Step 3: Cross multiply
    445.76x = 668.94 × 283.28
  4. Step 4: Simplify right side
    445.76x = 189,497.32
  5. Step 5: Solve for x
    x = 189,497.32/445.76
  6. Step 6: Final answer
    x = 425.11

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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.