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Finding the Fourth Proportional to 250.22, 373.41 and 213.64

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Solution

The fourth proportional to 250.22, 373.41 and 213.64 is: 318.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.22 : 373.41 = 213.64 : x
  2. Step 2: Convert to fraction form
    250.22/373.41 = 213.64/x
  3. Step 3: Cross multiply
    250.22x = 373.41 × 213.64
  4. Step 4: Simplify right side
    250.22x = 79,774.38
  5. Step 5: Solve for x
    x = 79,774.38/250.22
  6. Step 6: Final answer
    x = 318.81

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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.