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Finding the Fourth Proportional to 213.86, 294.78 and 209.36

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Solution

The fourth proportional to 213.86, 294.78 and 209.36 is: 288.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.86 : 294.78 = 209.36 : x
  2. Step 2: Convert to fraction form
    213.86/294.78 = 209.36/x
  3. Step 3: Cross multiply
    213.86x = 294.78 × 209.36
  4. Step 4: Simplify right side
    213.86x = 61,715.14
  5. Step 5: Solve for x
    x = 61,715.14/213.86
  6. Step 6: Final answer
    x = 288.58

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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.