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Finding the Fourth Proportional to 398.65, 597.21 and 235.84

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Solution

The fourth proportional to 398.65, 597.21 and 235.84 is: 353.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.65 : 597.21 = 235.84 : x
  2. Step 2: Convert to fraction form
    398.65/597.21 = 235.84/x
  3. Step 3: Cross multiply
    398.65x = 597.21 × 235.84
  4. Step 4: Simplify right side
    398.65x = 140,846.01
  5. Step 5: Solve for x
    x = 140,846.01/398.65
  6. Step 6: Final answer
    x = 353.31

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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.