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Finding the Fourth Proportional to 137.64, 205.41 and 116.04

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Solution

The fourth proportional to 137.64, 205.41 and 116.04 is: 173.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.64 : 205.41 = 116.04 : x
  2. Step 2: Convert to fraction form
    137.64/205.41 = 116.04/x
  3. Step 3: Cross multiply
    137.64x = 205.41 × 116.04
  4. Step 4: Simplify right side
    137.64x = 23,835.78
  5. Step 5: Solve for x
    x = 23,835.78/137.64
  6. Step 6: Final answer
    x = 173.17

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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.