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Finding the Fourth Proportional to 217.13, 298.13 and 211.49

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Solution

The fourth proportional to 217.13, 298.13 and 211.49 is: 290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.13 : 298.13 = 211.49 : x
  2. Step 2: Convert to fraction form
    217.13/298.13 = 211.49/x
  3. Step 3: Cross multiply
    217.13x = 298.13 × 211.49
  4. Step 4: Simplify right side
    217.13x = 63,051.51
  5. Step 5: Solve for x
    x = 63,051.51/217.13
  6. Step 6: Final answer
    x = 290.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.