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Finding the Fourth Proportional to 420.00, 579.94 and 272.88

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Solution

The fourth proportional to 420.00, 579.94 and 272.88 is: 376.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.00 : 579.94 = 272.88 : x
  2. Step 2: Convert to fraction form
    420.00/579.94 = 272.88/x
  3. Step 3: Cross multiply
    420.00x = 579.94 × 272.88
  4. Step 4: Simplify right side
    420.00x = 158,252.66
  5. Step 5: Solve for x
    x = 158,252.66/420.00
  6. Step 6: Final answer
    x = 376.80

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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.