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Finding the Fourth Proportional to 305.74, 460.71 and 252.82

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Solution

The fourth proportional to 305.74, 460.71 and 252.82 is: 380.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.74 : 460.71 = 252.82 : x
  2. Step 2: Convert to fraction form
    305.74/460.71 = 252.82/x
  3. Step 3: Cross multiply
    305.74x = 460.71 × 252.82
  4. Step 4: Simplify right side
    305.74x = 116,476.70
  5. Step 5: Solve for x
    x = 116,476.70/305.74
  6. Step 6: Final answer
    x = 380.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.