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Finding the Fourth Proportional to 445.84, 671.44 and 338.38

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Solution

The fourth proportional to 445.84, 671.44 and 338.38 is: 509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.84 : 671.44 = 338.38 : x
  2. Step 2: Convert to fraction form
    445.84/671.44 = 338.38/x
  3. Step 3: Cross multiply
    445.84x = 671.44 × 338.38
  4. Step 4: Simplify right side
    445.84x = 227,201.87
  5. Step 5: Solve for x
    x = 227,201.87/445.84
  6. Step 6: Final answer
    x = 509.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.