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Finding the Fourth Proportional to 311.94, 467.05 and 209.08

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Solution

The fourth proportional to 311.94, 467.05 and 209.08 is: 313.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.94 : 467.05 = 209.08 : x
  2. Step 2: Convert to fraction form
    311.94/467.05 = 209.08/x
  3. Step 3: Cross multiply
    311.94x = 467.05 × 209.08
  4. Step 4: Simplify right side
    311.94x = 97,650.81
  5. Step 5: Solve for x
    x = 97,650.81/311.94
  6. Step 6: Final answer
    x = 313.04

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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.