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Finding the Fourth Proportional to 486.50, 729.78 and 161.84

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Solution

The fourth proportional to 486.50, 729.78 and 161.84 is: 242.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.50 : 729.78 = 161.84 : x
  2. Step 2: Convert to fraction form
    486.50/729.78 = 161.84/x
  3. Step 3: Cross multiply
    486.50x = 729.78 × 161.84
  4. Step 4: Simplify right side
    486.50x = 118,107.60
  5. Step 5: Solve for x
    x = 118,107.60/486.50
  6. Step 6: Final answer
    x = 242.77

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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.