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Finding the Fourth Proportional to 538.04, 806.44 and 263.72

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Solution

The fourth proportional to 538.04, 806.44 and 263.72 is: 395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.04 : 806.44 = 263.72 : x
  2. Step 2: Convert to fraction form
    538.04/806.44 = 263.72/x
  3. Step 3: Cross multiply
    538.04x = 806.44 × 263.72
  4. Step 4: Simplify right side
    538.04x = 212,674.36
  5. Step 5: Solve for x
    x = 212,674.36/538.04
  6. Step 6: Final answer
    x = 395.28

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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.