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Finding the Fourth Proportional to 235.77, 324.88 and 223.42

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Solution

The fourth proportional to 235.77, 324.88 and 223.42 is: 307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.77 : 324.88 = 223.42 : x
  2. Step 2: Convert to fraction form
    235.77/324.88 = 223.42/x
  3. Step 3: Cross multiply
    235.77x = 324.88 × 223.42
  4. Step 4: Simplify right side
    235.77x = 72,584.69
  5. Step 5: Solve for x
    x = 72,584.69/235.77
  6. Step 6: Final answer
    x = 307.86

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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.