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Finding the Fourth Proportional to 398.42, 597.62 and 235.88

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Solution

The fourth proportional to 398.42, 597.62 and 235.88 is: 353.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.42 : 597.62 = 235.88 : x
  2. Step 2: Convert to fraction form
    398.42/597.62 = 235.88/x
  3. Step 3: Cross multiply
    398.42x = 597.62 × 235.88
  4. Step 4: Simplify right side
    398.42x = 140,964.21
  5. Step 5: Solve for x
    x = 140,964.21/398.42
  6. Step 6: Final answer
    x = 353.81

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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.