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Finding the Fourth Proportional to 137.34, 190.40 and 129.06

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Solution

The fourth proportional to 137.34, 190.40 and 129.06 is: 178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.34 : 190.40 = 129.06 : x
  2. Step 2: Convert to fraction form
    137.34/190.40 = 129.06/x
  3. Step 3: Cross multiply
    137.34x = 190.40 × 129.06
  4. Step 4: Simplify right side
    137.34x = 24,573.02
  5. Step 5: Solve for x
    x = 24,573.02/137.34
  6. Step 6: Final answer
    x = 178.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.