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Finding the Fourth Proportional to 250.86, 375.47 and 208.17

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Solution

The fourth proportional to 250.86, 375.47 and 208.17 is: 311.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.86 : 375.47 = 208.17 : x
  2. Step 2: Convert to fraction form
    250.86/375.47 = 208.17/x
  3. Step 3: Cross multiply
    250.86x = 375.47 × 208.17
  4. Step 4: Simplify right side
    250.86x = 78,161.33
  5. Step 5: Solve for x
    x = 78,161.33/250.86
  6. Step 6: Final answer
    x = 311.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.