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Finding the Fourth Proportional to 137.52, 207.09 and 119.70

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Solution

The fourth proportional to 137.52, 207.09 and 119.70 is: 180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.52 : 207.09 = 119.70 : x
  2. Step 2: Convert to fraction form
    137.52/207.09 = 119.70/x
  3. Step 3: Cross multiply
    137.52x = 207.09 × 119.70
  4. Step 4: Simplify right side
    137.52x = 24,787.34
  5. Step 5: Solve for x
    x = 24,787.34/137.52
  6. Step 6: Final answer
    x = 180.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.