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Finding the Fourth Proportional to 327.17, 492.71 and 276.14

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Solution

The fourth proportional to 327.17, 492.71 and 276.14 is: 415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.17 : 492.71 = 276.14 : x
  2. Step 2: Convert to fraction form
    327.17/492.71 = 276.14/x
  3. Step 3: Cross multiply
    327.17x = 492.71 × 276.14
  4. Step 4: Simplify right side
    327.17x = 136,056.94
  5. Step 5: Solve for x
    x = 136,056.94/327.17
  6. Step 6: Final answer
    x = 415.86

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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.