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Finding the Fourth Proportional to 144.62, 215.75 and 138.10

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Solution

The fourth proportional to 144.62, 215.75 and 138.10 is: 206.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.62 : 215.75 = 138.10 : x
  2. Step 2: Convert to fraction form
    144.62/215.75 = 138.10/x
  3. Step 3: Cross multiply
    144.62x = 215.75 × 138.10
  4. Step 4: Simplify right side
    144.62x = 29,795.08
  5. Step 5: Solve for x
    x = 29,795.08/144.62
  6. Step 6: Final answer
    x = 206.02

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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.