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Finding the Fourth Proportional to 420.42, 579.63 and 272.82

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Solution

The fourth proportional to 420.42, 579.63 and 272.82 is: 376.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.42 : 579.63 = 272.82 : x
  2. Step 2: Convert to fraction form
    420.42/579.63 = 272.82/x
  3. Step 3: Cross multiply
    420.42x = 579.63 × 272.82
  4. Step 4: Simplify right side
    420.42x = 158,134.66
  5. Step 5: Solve for x
    x = 158,134.66/420.42
  6. Step 6: Final answer
    x = 376.13

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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.