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Finding the Fourth Proportional to 385.04, 579.80 and 327.46

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Solution

The fourth proportional to 385.04, 579.80 and 327.46 is: 493.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.04 : 579.80 = 327.46 : x
  2. Step 2: Convert to fraction form
    385.04/579.80 = 327.46/x
  3. Step 3: Cross multiply
    385.04x = 579.80 × 327.46
  4. Step 4: Simplify right side
    385.04x = 189,861.31
  5. Step 5: Solve for x
    x = 189,861.31/385.04
  6. Step 6: Final answer
    x = 493.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.