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Finding the Fourth Proportional to 269.36, 370.89 and 210.59

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Solution

The fourth proportional to 269.36, 370.89 and 210.59 is: 289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.36 : 370.89 = 210.59 : x
  2. Step 2: Convert to fraction form
    269.36/370.89 = 210.59/x
  3. Step 3: Cross multiply
    269.36x = 370.89 × 210.59
  4. Step 4: Simplify right side
    269.36x = 78,105.73
  5. Step 5: Solve for x
    x = 78,105.73/269.36
  6. Step 6: Final answer
    x = 289.97

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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.