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Finding the Fourth Proportional to 291.70, 436.47 and 163.54

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Solution

The fourth proportional to 291.70, 436.47 and 163.54 is: 244.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.70 : 436.47 = 163.54 : x
  2. Step 2: Convert to fraction form
    291.70/436.47 = 163.54/x
  3. Step 3: Cross multiply
    291.70x = 436.47 × 163.54
  4. Step 4: Simplify right side
    291.70x = 71,380.30
  5. Step 5: Solve for x
    x = 71,380.30/291.70
  6. Step 6: Final answer
    x = 244.70

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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.