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Finding the Fourth Proportional to 911.16, 1,366.80 and 333.84

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Solution

The fourth proportional to 911.16, 1,366.80 and 333.84 is: 500.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.16 : 1,366.80 = 333.84 : x
  2. Step 2: Convert to fraction form
    911.16/1,366.80 = 333.84/x
  3. Step 3: Cross multiply
    911.16x = 1,366.80 × 333.84
  4. Step 4: Simplify right side
    911.16x = 456,292.51
  5. Step 5: Solve for x
    x = 456,292.51/911.16
  6. Step 6: Final answer
    x = 500.78

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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.