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Finding the Fourth Proportional to 408.36, 611.60 and 316.76

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Solution

The fourth proportional to 408.36, 611.60 and 316.76 is: 474.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.36 : 611.60 = 316.76 : x
  2. Step 2: Convert to fraction form
    408.36/611.60 = 316.76/x
  3. Step 3: Cross multiply
    408.36x = 611.60 × 316.76
  4. Step 4: Simplify right side
    408.36x = 193,730.42
  5. Step 5: Solve for x
    x = 193,730.42/408.36
  6. Step 6: Final answer
    x = 474.41

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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.