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Finding the Fourth Proportional to 411.12, 565.92 and 367.92

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Solution

The fourth proportional to 411.12, 565.92 and 367.92 is: 506.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.12 : 565.92 = 367.92 : x
  2. Step 2: Convert to fraction form
    411.12/565.92 = 367.92/x
  3. Step 3: Cross multiply
    411.12x = 565.92 × 367.92
  4. Step 4: Simplify right side
    411.12x = 208,213.29
  5. Step 5: Solve for x
    x = 208,213.29/411.12
  6. Step 6: Final answer
    x = 506.45

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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.