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Finding the Fourth Proportional to 408.29, 609.98 and 316.76

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Solution

The fourth proportional to 408.29, 609.98 and 316.76 is: 473.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.29 : 609.98 = 316.76 : x
  2. Step 2: Convert to fraction form
    408.29/609.98 = 316.76/x
  3. Step 3: Cross multiply
    408.29x = 609.98 × 316.76
  4. Step 4: Simplify right side
    408.29x = 193,212.63
  5. Step 5: Solve for x
    x = 193,212.63/408.29
  6. Step 6: Final answer
    x = 473.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.