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Finding the Fourth Proportional to 320.39, 441.64 and 209.67

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Solution

The fourth proportional to 320.39, 441.64 and 209.67 is: 289.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.39 : 441.64 = 209.67 : x
  2. Step 2: Convert to fraction form
    320.39/441.64 = 209.67/x
  3. Step 3: Cross multiply
    320.39x = 441.64 × 209.67
  4. Step 4: Simplify right side
    320.39x = 92,598.66
  5. Step 5: Solve for x
    x = 92,598.66/320.39
  6. Step 6: Final answer
    x = 289.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.