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Finding the Fourth Proportional to 811.38, 1,216.45 and 263.23

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Solution

The fourth proportional to 811.38, 1,216.45 and 263.23 is: 394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.38 : 1,216.45 = 263.23 : x
  2. Step 2: Convert to fraction form
    811.38/1,216.45 = 263.23/x
  3. Step 3: Cross multiply
    811.38x = 1,216.45 × 263.23
  4. Step 4: Simplify right side
    811.38x = 320,206.13
  5. Step 5: Solve for x
    x = 320,206.13/811.38
  6. Step 6: Final answer
    x = 394.64

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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.