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Finding the Fourth Proportional to 406.09, 560.49 and 280.23

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Solution

The fourth proportional to 406.09, 560.49 and 280.23 is: 386.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.09 : 560.49 = 280.23 : x
  2. Step 2: Convert to fraction form
    406.09/560.49 = 280.23/x
  3. Step 3: Cross multiply
    406.09x = 560.49 × 280.23
  4. Step 4: Simplify right side
    406.09x = 157,066.11
  5. Step 5: Solve for x
    x = 157,066.11/406.09
  6. Step 6: Final answer
    x = 386.78

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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.