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Finding the Fourth Proportional to 137.21, 204.81 and 116.70

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Solution

The fourth proportional to 137.21, 204.81 and 116.70 is: 174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.21 : 204.81 = 116.70 : x
  2. Step 2: Convert to fraction form
    137.21/204.81 = 116.70/x
  3. Step 3: Cross multiply
    137.21x = 204.81 × 116.70
  4. Step 4: Simplify right side
    137.21x = 23,901.33
  5. Step 5: Solve for x
    x = 23,901.33/137.21
  6. Step 6: Final answer
    x = 174.20

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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.