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Finding the Fourth Proportional to 811.10, 1,216.28 and 233.84

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Solution

The fourth proportional to 811.10, 1,216.28 and 233.84 is: 350.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.10 : 1,216.28 = 233.84 : x
  2. Step 2: Convert to fraction form
    811.10/1,216.28 = 233.84/x
  3. Step 3: Cross multiply
    811.10x = 1,216.28 × 233.84
  4. Step 4: Simplify right side
    811.10x = 284,414.92
  5. Step 5: Solve for x
    x = 284,414.92/811.10
  6. Step 6: Final answer
    x = 350.65

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1.5x scale

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.