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Finding the Fourth Proportional to 305.67, 456.52 and 250.95

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Solution

The fourth proportional to 305.67, 456.52 and 250.95 is: 374.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.67 : 456.52 = 250.95 : x
  2. Step 2: Convert to fraction form
    305.67/456.52 = 250.95/x
  3. Step 3: Cross multiply
    305.67x = 456.52 × 250.95
  4. Step 4: Simplify right side
    305.67x = 114,563.07
  5. Step 5: Solve for x
    x = 114,563.07/305.67
  6. Step 6: Final answer
    x = 374.79

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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.