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Finding the Fourth Proportional to 398.21, 596.67 and 235.70

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Solution

The fourth proportional to 398.21, 596.67 and 235.70 is: 353.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.21 : 596.67 = 235.70 : x
  2. Step 2: Convert to fraction form
    398.21/596.67 = 235.70/x
  3. Step 3: Cross multiply
    398.21x = 596.67 × 235.70
  4. Step 4: Simplify right side
    398.21x = 140,635.12
  5. Step 5: Solve for x
    x = 140,635.12/398.21
  6. Step 6: Final answer
    x = 353.17

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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.