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Finding the Fourth Proportional to 375.94, 561.20 and 327.34

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Solution

The fourth proportional to 375.94, 561.20 and 327.34 is: 488.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.94 : 561.20 = 327.34 : x
  2. Step 2: Convert to fraction form
    375.94/561.20 = 327.34/x
  3. Step 3: Cross multiply
    375.94x = 561.20 × 327.34
  4. Step 4: Simplify right side
    375.94x = 183,703.21
  5. Step 5: Solve for x
    x = 183,703.21/375.94
  6. Step 6: Final answer
    x = 488.65

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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.