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Finding the Fourth Proportional to 235.29, 324.80 and 161.98

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Solution

The fourth proportional to 235.29, 324.80 and 161.98 is: 223.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.29 : 324.80 = 161.98 : x
  2. Step 2: Convert to fraction form
    235.29/324.80 = 161.98/x
  3. Step 3: Cross multiply
    235.29x = 324.80 × 161.98
  4. Step 4: Simplify right side
    235.29x = 52,611.10
  5. Step 5: Solve for x
    x = 52,611.10/235.29
  6. Step 6: Final answer
    x = 223.60

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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.