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Finding the Fourth Proportional to 272.96, 406.82 and 270.70

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Solution

The fourth proportional to 272.96, 406.82 and 270.70 is: 403.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.96 : 406.82 = 270.70 : x
  2. Step 2: Convert to fraction form
    272.96/406.82 = 270.70/x
  3. Step 3: Cross multiply
    272.96x = 406.82 × 270.70
  4. Step 4: Simplify right side
    272.96x = 110,126.17
  5. Step 5: Solve for x
    x = 110,126.17/272.96
  6. Step 6: Final answer
    x = 403.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.