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Finding the Fourth Proportional to 249.90, 344.93 and 145.05

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Solution

The fourth proportional to 249.90, 344.93 and 145.05 is: 200.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.90 : 344.93 = 145.05 : x
  2. Step 2: Convert to fraction form
    249.90/344.93 = 145.05/x
  3. Step 3: Cross multiply
    249.90x = 344.93 × 145.05
  4. Step 4: Simplify right side
    249.90x = 50,032.10
  5. Step 5: Solve for x
    x = 50,032.10/249.90
  6. Step 6: Final answer
    x = 200.21

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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.