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Finding the Fourth Proportional to 406.39, 560.94 and 282.06

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Solution

The fourth proportional to 406.39, 560.94 and 282.06 is: 389.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.39 : 560.94 = 282.06 : x
  2. Step 2: Convert to fraction form
    406.39/560.94 = 282.06/x
  3. Step 3: Cross multiply
    406.39x = 560.94 × 282.06
  4. Step 4: Simplify right side
    406.39x = 158,218.74
  5. Step 5: Solve for x
    x = 158,218.74/406.39
  6. Step 6: Final answer
    x = 389.33

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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.