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Finding the Fourth Proportional to 298.04, 411.17 and 209.54

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Solution

The fourth proportional to 298.04, 411.17 and 209.54 is: 289.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.04 : 411.17 = 209.54 : x
  2. Step 2: Convert to fraction form
    298.04/411.17 = 209.54/x
  3. Step 3: Cross multiply
    298.04x = 411.17 × 209.54
  4. Step 4: Simplify right side
    298.04x = 86,153.46
  5. Step 5: Solve for x
    x = 86,153.46/298.04
  6. Step 6: Final answer
    x = 289.07

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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.