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Finding the Fourth Proportional to 538.36, 806.85 and 355.88

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Solution

The fourth proportional to 538.36, 806.85 and 355.88 is: 533.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.36 : 806.85 = 355.88 : x
  2. Step 2: Convert to fraction form
    538.36/806.85 = 355.88/x
  3. Step 3: Cross multiply
    538.36x = 806.85 × 355.88
  4. Step 4: Simplify right side
    538.36x = 287,143.80
  5. Step 5: Solve for x
    x = 287,143.80/538.36
  6. Step 6: Final answer
    x = 533.37

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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.