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Finding the Fourth Proportional to 406.94, 561.19 and 259.31

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Solution

The fourth proportional to 406.94, 561.19 and 259.31 is: 357.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.94 : 561.19 = 259.31 : x
  2. Step 2: Convert to fraction form
    406.94/561.19 = 259.31/x
  3. Step 3: Cross multiply
    406.94x = 561.19 × 259.31
  4. Step 4: Simplify right side
    406.94x = 145,522.18
  5. Step 5: Solve for x
    x = 145,522.18/406.94
  6. Step 6: Final answer
    x = 357.60

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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.