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Finding the Fourth Proportional to 420.23, 579.57 and 273.01

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Solution

The fourth proportional to 420.23, 579.57 and 273.01 is: 376.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.23 : 579.57 = 273.01 : x
  2. Step 2: Convert to fraction form
    420.23/579.57 = 273.01/x
  3. Step 3: Cross multiply
    420.23x = 579.57 × 273.01
  4. Step 4: Simplify right side
    420.23x = 158,225.93
  5. Step 5: Solve for x
    x = 158,225.93/420.23
  6. Step 6: Final answer
    x = 376.53

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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.