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Finding the Fourth Proportional to 420.06, 579.56 and 272.56

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Solution

The fourth proportional to 420.06, 579.56 and 272.56 is: 376.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.06 : 579.56 = 272.56 : x
  2. Step 2: Convert to fraction form
    420.06/579.56 = 272.56/x
  3. Step 3: Cross multiply
    420.06x = 579.56 × 272.56
  4. Step 4: Simplify right side
    420.06x = 157,964.87
  5. Step 5: Solve for x
    x = 157,964.87/420.06
  6. Step 6: Final answer
    x = 376.05

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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.