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Finding the Fourth Proportional to 272.62, 409.12 and 142.66

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Solution

The fourth proportional to 272.62, 409.12 and 142.66 is: 214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.62 : 409.12 = 142.66 : x
  2. Step 2: Convert to fraction form
    272.62/409.12 = 142.66/x
  3. Step 3: Cross multiply
    272.62x = 409.12 × 142.66
  4. Step 4: Simplify right side
    272.62x = 58,365.06
  5. Step 5: Solve for x
    x = 58,365.06/272.62
  6. Step 6: Final answer
    x = 214.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.