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Finding the Fourth Proportional to 393.94, 593.21 and 291.95

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Solution

The fourth proportional to 393.94, 593.21 and 291.95 is: 439.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.94 : 593.21 = 291.95 : x
  2. Step 2: Convert to fraction form
    393.94/593.21 = 291.95/x
  3. Step 3: Cross multiply
    393.94x = 593.21 × 291.95
  4. Step 4: Simplify right side
    393.94x = 173,185.46
  5. Step 5: Solve for x
    x = 173,185.46/393.94
  6. Step 6: Final answer
    x = 439.62

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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.