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Finding the Fourth Proportional to 406.44, 560.74 and 249.01

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Solution

The fourth proportional to 406.44, 560.74 and 249.01 is: 343.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.44 : 560.74 = 249.01 : x
  2. Step 2: Convert to fraction form
    406.44/560.74 = 249.01/x
  3. Step 3: Cross multiply
    406.44x = 560.74 × 249.01
  4. Step 4: Simplify right side
    406.44x = 139,629.87
  5. Step 5: Solve for x
    x = 139,629.87/406.44
  6. Step 6: Final answer
    x = 343.54

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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.