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Finding the Fourth Proportional to 406.26, 560.62 and 231.60

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Solution

The fourth proportional to 406.26, 560.62 and 231.60 is: 319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.26 : 560.62 = 231.60 : x
  2. Step 2: Convert to fraction form
    406.26/560.62 = 231.60/x
  3. Step 3: Cross multiply
    406.26x = 560.62 × 231.60
  4. Step 4: Simplify right side
    406.26x = 129,839.59
  5. Step 5: Solve for x
    x = 129,839.59/406.26
  6. Step 6: Final answer
    x = 319.60

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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.