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Finding the Fourth Proportional to 137.63, 205.01 and 129.12

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Solution

The fourth proportional to 137.63, 205.01 and 129.12 is: 192.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.63 : 205.01 = 129.12 : x
  2. Step 2: Convert to fraction form
    137.63/205.01 = 129.12/x
  3. Step 3: Cross multiply
    137.63x = 205.01 × 129.12
  4. Step 4: Simplify right side
    137.63x = 26,470.25
  5. Step 5: Solve for x
    x = 26,470.25/137.63
  6. Step 6: Final answer
    x = 192.34

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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.