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Finding the Fourth Proportional to 289.19, 433.94 and 221.15

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Solution

The fourth proportional to 289.19, 433.94 and 221.15 is: 331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.19 : 433.94 = 221.15 : x
  2. Step 2: Convert to fraction form
    289.19/433.94 = 221.15/x
  3. Step 3: Cross multiply
    289.19x = 433.94 × 221.15
  4. Step 4: Simplify right side
    289.19x = 95,965.83
  5. Step 5: Solve for x
    x = 95,965.83/289.19
  6. Step 6: Final answer
    x = 331.84

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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.