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Finding the Fourth Proportional to 272.90, 405.78 and 261.97

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Solution

The fourth proportional to 272.90, 405.78 and 261.97 is: 389.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.90 : 405.78 = 261.97 : x
  2. Step 2: Convert to fraction form
    272.90/405.78 = 261.97/x
  3. Step 3: Cross multiply
    272.90x = 405.78 × 261.97
  4. Step 4: Simplify right side
    272.90x = 106,300.19
  5. Step 5: Solve for x
    x = 106,300.19/272.90
  6. Step 6: Final answer
    x = 389.52

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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.