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Finding the Fourth Proportional to 471.09, 649.94 and 264.09

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Solution

The fourth proportional to 471.09, 649.94 and 264.09 is: 364.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.09 : 649.94 = 264.09 : x
  2. Step 2: Convert to fraction form
    471.09/649.94 = 264.09/x
  3. Step 3: Cross multiply
    471.09x = 649.94 × 264.09
  4. Step 4: Simplify right side
    471.09x = 171,641.33
  5. Step 5: Solve for x
    x = 171,641.33/471.09
  6. Step 6: Final answer
    x = 364.35

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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.