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Finding the Fourth Proportional to 398.59, 596.87 and 236.39

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Solution

The fourth proportional to 398.59, 596.87 and 236.39 is: 353.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.59 : 596.87 = 236.39 : x
  2. Step 2: Convert to fraction form
    398.59/596.87 = 236.39/x
  3. Step 3: Cross multiply
    398.59x = 596.87 × 236.39
  4. Step 4: Simplify right side
    398.59x = 141,094.10
  5. Step 5: Solve for x
    x = 141,094.10/398.59
  6. Step 6: Final answer
    x = 353.98

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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.