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Finding the Fourth Proportional to 538.17, 806.64 and 263.66

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Solution

The fourth proportional to 538.17, 806.64 and 263.66 is: 395.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.17 : 806.64 = 263.66 : x
  2. Step 2: Convert to fraction form
    538.17/806.64 = 263.66/x
  3. Step 3: Cross multiply
    538.17x = 806.64 × 263.66
  4. Step 4: Simplify right side
    538.17x = 212,678.70
  5. Step 5: Solve for x
    x = 212,678.70/538.17
  6. Step 6: Final answer
    x = 395.19

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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.