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Finding the Fourth Proportional to 146.72, 219.04 and 138.08

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Solution

The fourth proportional to 146.72, 219.04 and 138.08 is: 206.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.72 : 219.04 = 138.08 : x
  2. Step 2: Convert to fraction form
    146.72/219.04 = 138.08/x
  3. Step 3: Cross multiply
    146.72x = 219.04 × 138.08
  4. Step 4: Simplify right side
    146.72x = 30,245.04
  5. Step 5: Solve for x
    x = 30,245.04/146.72
  6. Step 6: Final answer
    x = 206.14

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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.