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Finding the Fourth Proportional to 147.36, 219.74 and 137.43

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Solution

The fourth proportional to 147.36, 219.74 and 137.43 is: 204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.36 : 219.74 = 137.43 : x
  2. Step 2: Convert to fraction form
    147.36/219.74 = 137.43/x
  3. Step 3: Cross multiply
    147.36x = 219.74 × 137.43
  4. Step 4: Simplify right side
    147.36x = 30,198.18
  5. Step 5: Solve for x
    x = 30,198.18/147.36
  6. Step 6: Final answer
    x = 204.93

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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.