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Finding the Fourth Proportional to 250.54, 345.81 and 144.23

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Solution

The fourth proportional to 250.54, 345.81 and 144.23 is: 199.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.54 : 345.81 = 144.23 : x
  2. Step 2: Convert to fraction form
    250.54/345.81 = 144.23/x
  3. Step 3: Cross multiply
    250.54x = 345.81 × 144.23
  4. Step 4: Simplify right side
    250.54x = 49,876.18
  5. Step 5: Solve for x
    x = 49,876.18/250.54
  6. Step 6: Final answer
    x = 199.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.