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Finding the Fourth Proportional to 298.72, 411.80 and 209.93

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Solution

The fourth proportional to 298.72, 411.80 and 209.93 is: 289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.72 : 411.80 = 209.93 : x
  2. Step 2: Convert to fraction form
    298.72/411.80 = 209.93/x
  3. Step 3: Cross multiply
    298.72x = 411.80 × 209.93
  4. Step 4: Simplify right side
    298.72x = 86,446.07
  5. Step 5: Solve for x
    x = 86,446.07/298.72
  6. Step 6: Final answer
    x = 289.39

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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.