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Finding the Fourth Proportional to 420.65, 580.65 and 273.29

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Solution

The fourth proportional to 420.65, 580.65 and 273.29 is: 377.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.65 : 580.65 = 273.29 : x
  2. Step 2: Convert to fraction form
    420.65/580.65 = 273.29/x
  3. Step 3: Cross multiply
    420.65x = 580.65 × 273.29
  4. Step 4: Simplify right side
    420.65x = 158,685.84
  5. Step 5: Solve for x
    x = 158,685.84/420.65
  6. Step 6: Final answer
    x = 377.24

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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.