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Finding the Fourth Proportional to 393.96, 593.23 and 291.96

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Solution

The fourth proportional to 393.96, 593.23 and 291.96 is: 439.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.96 : 593.23 = 291.96 : x
  2. Step 2: Convert to fraction form
    393.96/593.23 = 291.96/x
  3. Step 3: Cross multiply
    393.96x = 593.23 × 291.96
  4. Step 4: Simplify right side
    393.96x = 173,199.43
  5. Step 5: Solve for x
    x = 173,199.43/393.96
  6. Step 6: Final answer
    x = 439.64

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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.