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Finding the Fourth Proportional to 538.29, 806.76 and 264.47

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Solution

The fourth proportional to 538.29, 806.76 and 264.47 is: 396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.29 : 806.76 = 264.47 : x
  2. Step 2: Convert to fraction form
    538.29/806.76 = 264.47/x
  3. Step 3: Cross multiply
    538.29x = 806.76 × 264.47
  4. Step 4: Simplify right side
    538.29x = 213,359.78
  5. Step 5: Solve for x
    x = 213,359.78/538.29
  6. Step 6: Final answer
    x = 396.37

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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.