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Finding the Fourth Proportional to 406.23, 609.31 and 328.77

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Solution

The fourth proportional to 406.23, 609.31 and 328.77 is: 493.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.23 : 609.31 = 328.77 : x
  2. Step 2: Convert to fraction form
    406.23/609.31 = 328.77/x
  3. Step 3: Cross multiply
    406.23x = 609.31 × 328.77
  4. Step 4: Simplify right side
    406.23x = 200,322.85
  5. Step 5: Solve for x
    x = 200,322.85/406.23
  6. Step 6: Final answer
    x = 493.13

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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.