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Finding the Fourth Proportional to 393.81, 593.02 and 291.82

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Solution

The fourth proportional to 393.81, 593.02 and 291.82 is: 439.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.81 : 593.02 = 291.82 : x
  2. Step 2: Convert to fraction form
    393.81/593.02 = 291.82/x
  3. Step 3: Cross multiply
    393.81x = 593.02 × 291.82
  4. Step 4: Simplify right side
    393.81x = 173,054.37
  5. Step 5: Solve for x
    x = 173,054.37/393.81
  6. Step 6: Final answer
    x = 439.43

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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.