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Finding the Fourth Proportional to 327.34, 492.95 and 273.01

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Solution

The fourth proportional to 327.34, 492.95 and 273.01 is: 411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.34 : 492.95 = 273.01 : x
  2. Step 2: Convert to fraction form
    327.34/492.95 = 273.01/x
  3. Step 3: Cross multiply
    327.34x = 492.95 × 273.01
  4. Step 4: Simplify right side
    327.34x = 134,580.28
  5. Step 5: Solve for x
    x = 134,580.28/327.34
  6. Step 6: Final answer
    x = 411.13

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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.