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Finding the Fourth Proportional to 406.26, 560.64 and 231.62

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Solution

The fourth proportional to 406.26, 560.64 and 231.62 is: 319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.26 : 560.64 = 231.62 : x
  2. Step 2: Convert to fraction form
    406.26/560.64 = 231.62/x
  3. Step 3: Cross multiply
    406.26x = 560.64 × 231.62
  4. Step 4: Simplify right side
    406.26x = 129,855.44
  5. Step 5: Solve for x
    x = 129,855.44/406.26
  6. Step 6: Final answer
    x = 319.64

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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.