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Finding the Fourth Proportional to 406.92, 561.24 and 259.50

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Solution

The fourth proportional to 406.92, 561.24 and 259.50 is: 357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.92 : 561.24 = 259.50 : x
  2. Step 2: Convert to fraction form
    406.92/561.24 = 259.50/x
  3. Step 3: Cross multiply
    406.92x = 561.24 × 259.50
  4. Step 4: Simplify right side
    406.92x = 145,641.78
  5. Step 5: Solve for x
    x = 145,641.78/406.92
  6. Step 6: Final answer
    x = 357.91

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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.