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Finding the Fourth Proportional to 398.48, 596.46 and 383.36

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Solution

The fourth proportional to 398.48, 596.46 and 383.36 is: 573.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.48 : 596.46 = 383.36 : x
  2. Step 2: Convert to fraction form
    398.48/596.46 = 383.36/x
  3. Step 3: Cross multiply
    398.48x = 596.46 × 383.36
  4. Step 4: Simplify right side
    398.48x = 228,658.91
  5. Step 5: Solve for x
    x = 228,658.91/398.48
  6. Step 6: Final answer
    x = 573.83

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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.