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Finding the Fourth Proportional to 362.19, 499.98 and 231.37

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Solution

The fourth proportional to 362.19, 499.98 and 231.37 is: 319.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.19 : 499.98 = 231.37 : x
  2. Step 2: Convert to fraction form
    362.19/499.98 = 231.37/x
  3. Step 3: Cross multiply
    362.19x = 499.98 × 231.37
  4. Step 4: Simplify right side
    362.19x = 115,680.37
  5. Step 5: Solve for x
    x = 115,680.37/362.19
  6. Step 6: Final answer
    x = 319.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.