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Finding the Fourth Proportional to 420.92, 581.14 and 327.76

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Solution

The fourth proportional to 420.92, 581.14 and 327.76 is: 452.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.92 : 581.14 = 327.76 : x
  2. Step 2: Convert to fraction form
    420.92/581.14 = 327.76/x
  3. Step 3: Cross multiply
    420.92x = 581.14 × 327.76
  4. Step 4: Simplify right side
    420.92x = 190,474.45
  5. Step 5: Solve for x
    x = 190,474.45/420.92
  6. Step 6: Final answer
    x = 452.52

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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.