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Finding the Fourth Proportional to 137.89, 207.19 and 129.00

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Solution

The fourth proportional to 137.89, 207.19 and 129.00 is: 193.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.89 : 207.19 = 129.00 : x
  2. Step 2: Convert to fraction form
    137.89/207.19 = 129.00/x
  3. Step 3: Cross multiply
    137.89x = 207.19 × 129.00
  4. Step 4: Simplify right side
    137.89x = 26,728.45
  5. Step 5: Solve for x
    x = 26,728.45/137.89
  6. Step 6: Final answer
    x = 193.84

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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.