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Finding the Fourth Proportional to 376.27, 561.86 and 329.64

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Solution

The fourth proportional to 376.27, 561.86 and 329.64 is: 492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.27 : 561.86 = 329.64 : x
  2. Step 2: Convert to fraction form
    376.27/561.86 = 329.64/x
  3. Step 3: Cross multiply
    376.27x = 561.86 × 329.64
  4. Step 4: Simplify right side
    376.27x = 185,214.68
  5. Step 5: Solve for x
    x = 185,214.68/376.27
  6. Step 6: Final answer
    x = 492.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.