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Finding the Fourth Proportional to 420.72, 581.34 and 327.70

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Solution

The fourth proportional to 420.72, 581.34 and 327.70 is: 452.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.72 : 581.34 = 327.70 : x
  2. Step 2: Convert to fraction form
    420.72/581.34 = 327.70/x
  3. Step 3: Cross multiply
    420.72x = 581.34 × 327.70
  4. Step 4: Simplify right side
    420.72x = 190,505.12
  5. Step 5: Solve for x
    x = 190,505.12/420.72
  6. Step 6: Final answer
    x = 452.81

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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.