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Finding the Fourth Proportional to 327.76, 451.10 and 313.20

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Solution

The fourth proportional to 327.76, 451.10 and 313.20 is: 431.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.76 : 451.10 = 313.20 : x
  2. Step 2: Convert to fraction form
    327.76/451.10 = 313.20/x
  3. Step 3: Cross multiply
    327.76x = 451.10 × 313.20
  4. Step 4: Simplify right side
    327.76x = 141,284.52
  5. Step 5: Solve for x
    x = 141,284.52/327.76
  6. Step 6: Final answer
    x = 431.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.