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Finding the Fourth Proportional to 366.78, 505.38 and 250.14

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Solution

The fourth proportional to 366.78, 505.38 and 250.14 is: 344.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.78 : 505.38 = 250.14 : x
  2. Step 2: Convert to fraction form
    366.78/505.38 = 250.14/x
  3. Step 3: Cross multiply
    366.78x = 505.38 × 250.14
  4. Step 4: Simplify right side
    366.78x = 126,415.75
  5. Step 5: Solve for x
    x = 126,415.75/366.78
  6. Step 6: Final answer
    x = 344.66

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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.