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Finding the Fourth Proportional to 420.22, 579.54 and 272.80

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Solution

The fourth proportional to 420.22, 579.54 and 272.80 is: 376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.22 : 579.54 = 272.80 : x
  2. Step 2: Convert to fraction form
    420.22/579.54 = 272.80/x
  3. Step 3: Cross multiply
    420.22x = 579.54 × 272.80
  4. Step 4: Simplify right side
    420.22x = 158,098.51
  5. Step 5: Solve for x
    x = 158,098.51/420.22
  6. Step 6: Final answer
    x = 376.23

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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.