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Finding the Fourth Proportional to 393.68, 591.87 and 383.42

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Solution

The fourth proportional to 393.68, 591.87 and 383.42 is: 576.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.68 : 591.87 = 383.42 : x
  2. Step 2: Convert to fraction form
    393.68/591.87 = 383.42/x
  3. Step 3: Cross multiply
    393.68x = 591.87 × 383.42
  4. Step 4: Simplify right side
    393.68x = 226,934.80
  5. Step 5: Solve for x
    x = 226,934.80/393.68
  6. Step 6: Final answer
    x = 576.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.