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Finding the Fourth Proportional to 250.30, 344.64 and 213.40

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Solution

The fourth proportional to 250.30, 344.64 and 213.40 is: 293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.30 : 344.64 = 213.40 : x
  2. Step 2: Convert to fraction form
    250.30/344.64 = 213.40/x
  3. Step 3: Cross multiply
    250.30x = 344.64 × 213.40
  4. Step 4: Simplify right side
    250.30x = 73,546.18
  5. Step 5: Solve for x
    x = 73,546.18/250.30
  6. Step 6: Final answer
    x = 293.83

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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.