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Finding the Fourth Proportional to 369.41, 509.73 and 209.89

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Solution

The fourth proportional to 369.41, 509.73 and 209.89 is: 289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.41 : 509.73 = 209.89 : x
  2. Step 2: Convert to fraction form
    369.41/509.73 = 209.89/x
  3. Step 3: Cross multiply
    369.41x = 509.73 × 209.89
  4. Step 4: Simplify right side
    369.41x = 106,984.68
  5. Step 5: Solve for x
    x = 106,984.68/369.41
  6. Step 6: Final answer
    x = 289.61

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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.