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Finding the Fourth Proportional to 420.70, 580.72 and 273.28

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Solution

The fourth proportional to 420.70, 580.72 and 273.28 is: 377.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.70 : 580.72 = 273.28 : x
  2. Step 2: Convert to fraction form
    420.70/580.72 = 273.28/x
  3. Step 3: Cross multiply
    420.70x = 580.72 × 273.28
  4. Step 4: Simplify right side
    420.70x = 158,699.16
  5. Step 5: Solve for x
    x = 158,699.16/420.70
  6. Step 6: Final answer
    x = 377.23

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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.