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Finding the Fourth Proportional to 182.34, 272.97 and 139.17

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Solution

The fourth proportional to 182.34, 272.97 and 139.17 is: 208.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.34 : 272.97 = 139.17 : x
  2. Step 2: Convert to fraction form
    182.34/272.97 = 139.17/x
  3. Step 3: Cross multiply
    182.34x = 272.97 × 139.17
  4. Step 4: Simplify right side
    182.34x = 37,988.72
  5. Step 5: Solve for x
    x = 37,988.72/182.34
  6. Step 6: Final answer
    x = 208.34

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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.