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Finding the Fourth Proportional to 411.27, 566.78 and 294.63

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Solution

The fourth proportional to 411.27, 566.78 and 294.63 is: 406.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.27 : 566.78 = 294.63 : x
  2. Step 2: Convert to fraction form
    411.27/566.78 = 294.63/x
  3. Step 3: Cross multiply
    411.27x = 566.78 × 294.63
  4. Step 4: Simplify right side
    411.27x = 166,988.92
  5. Step 5: Solve for x
    x = 166,988.92/411.27
  6. Step 6: Final answer
    x = 406.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.