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Finding the Fourth Proportional to 327.12, 493.53 and 291.48

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Solution

The fourth proportional to 327.12, 493.53 and 291.48 is: 439.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.12 : 493.53 = 291.48 : x
  2. Step 2: Convert to fraction form
    327.12/493.53 = 291.48/x
  3. Step 3: Cross multiply
    327.12x = 493.53 × 291.48
  4. Step 4: Simplify right side
    327.12x = 143,854.12
  5. Step 5: Solve for x
    x = 143,854.12/327.12
  6. Step 6: Final answer
    x = 439.76

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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.