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Finding the Fourth Proportional to 482.59, 665.93 and 272.78

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Solution

The fourth proportional to 482.59, 665.93 and 272.78 is: 376.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.59 : 665.93 = 272.78 : x
  2. Step 2: Convert to fraction form
    482.59/665.93 = 272.78/x
  3. Step 3: Cross multiply
    482.59x = 665.93 × 272.78
  4. Step 4: Simplify right side
    482.59x = 181,654.05
  5. Step 5: Solve for x
    x = 181,654.05/482.59
  6. Step 6: Final answer
    x = 376.42

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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.