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Finding the Fourth Proportional to 538.14, 806.66 and 213.06

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Solution

The fourth proportional to 538.14, 806.66 and 213.06 is: 319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.14 : 806.66 = 213.06 : x
  2. Step 2: Convert to fraction form
    538.14/806.66 = 213.06/x
  3. Step 3: Cross multiply
    538.14x = 806.66 × 213.06
  4. Step 4: Simplify right side
    538.14x = 171,866.98
  5. Step 5: Solve for x
    x = 171,866.98/538.14
  6. Step 6: Final answer
    x = 319.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.