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Finding the Fourth Proportional to 305.25, 456.81 and 249.77

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Solution

The fourth proportional to 305.25, 456.81 and 249.77 is: 373.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.25 : 456.81 = 249.77 : x
  2. Step 2: Convert to fraction form
    305.25/456.81 = 249.77/x
  3. Step 3: Cross multiply
    305.25x = 456.81 × 249.77
  4. Step 4: Simplify right side
    305.25x = 114,096.09
  5. Step 5: Solve for x
    x = 114,096.09/305.25
  6. Step 6: Final answer
    x = 373.78

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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.