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Finding the Fourth Proportional to 406.95, 561.23 and 319.47

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Solution

The fourth proportional to 406.95, 561.23 and 319.47 is: 440.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.95 : 561.23 = 319.47 : x
  2. Step 2: Convert to fraction form
    406.95/561.23 = 319.47/x
  3. Step 3: Cross multiply
    406.95x = 561.23 × 319.47
  4. Step 4: Simplify right side
    406.95x = 179,299.65
  5. Step 5: Solve for x
    x = 179,299.65/406.95
  6. Step 6: Final answer
    x = 440.59

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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.