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Finding the Fourth Proportional to 376.08, 561.41 and 327.48

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Solution

The fourth proportional to 376.08, 561.41 and 327.48 is: 488.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.08 : 561.41 = 327.48 : x
  2. Step 2: Convert to fraction form
    376.08/561.41 = 327.48/x
  3. Step 3: Cross multiply
    376.08x = 561.41 × 327.48
  4. Step 4: Simplify right side
    376.08x = 183,848.91
  5. Step 5: Solve for x
    x = 183,848.91/376.08
  6. Step 6: Final answer
    x = 488.86

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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.