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Finding the Fourth Proportional to 445.24, 667.78 and 137.01

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Solution

The fourth proportional to 445.24, 667.78 and 137.01 is: 205.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.24 : 667.78 = 137.01 : x
  2. Step 2: Convert to fraction form
    445.24/667.78 = 137.01/x
  3. Step 3: Cross multiply
    445.24x = 667.78 × 137.01
  4. Step 4: Simplify right side
    445.24x = 91,492.54
  5. Step 5: Solve for x
    x = 91,492.54/445.24
  6. Step 6: Final answer
    x = 205.49

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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.