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Finding the Fourth Proportional to 406.96, 609.36 and 319.84

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Solution

The fourth proportional to 406.96, 609.36 and 319.84 is: 478.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.96 : 609.36 = 319.84 : x
  2. Step 2: Convert to fraction form
    406.96/609.36 = 319.84/x
  3. Step 3: Cross multiply
    406.96x = 609.36 × 319.84
  4. Step 4: Simplify right side
    406.96x = 194,897.70
  5. Step 5: Solve for x
    x = 194,897.70/406.96
  6. Step 6: Final answer
    x = 478.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.