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Finding the Fourth Proportional to 393.12, 591.86 and 306.92

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Solution

The fourth proportional to 393.12, 591.86 and 306.92 is: 462.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.12 : 591.86 = 306.92 : x
  2. Step 2: Convert to fraction form
    393.12/591.86 = 306.92/x
  3. Step 3: Cross multiply
    393.12x = 591.86 × 306.92
  4. Step 4: Simplify right side
    393.12x = 181,655.92
  5. Step 5: Solve for x
    x = 181,655.92/393.12
  6. Step 6: Final answer
    x = 462.09

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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.