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Finding the Fourth Proportional to 398.26, 597.51 and 235.60

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Solution

The fourth proportional to 398.26, 597.51 and 235.60 is: 353.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.26 : 597.51 = 235.60 : x
  2. Step 2: Convert to fraction form
    398.26/597.51 = 235.60/x
  3. Step 3: Cross multiply
    398.26x = 597.51 × 235.60
  4. Step 4: Simplify right side
    398.26x = 140,773.36
  5. Step 5: Solve for x
    x = 140,773.36/398.26
  6. Step 6: Final answer
    x = 353.47

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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.