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Finding the Fourth Proportional to 291.59, 437.12 and 163.25

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Solution

The fourth proportional to 291.59, 437.12 and 163.25 is: 244.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.59 : 437.12 = 163.25 : x
  2. Step 2: Convert to fraction form
    291.59/437.12 = 163.25/x
  3. Step 3: Cross multiply
    291.59x = 437.12 × 163.25
  4. Step 4: Simplify right side
    291.59x = 71,359.02
  5. Step 5: Solve for x
    x = 71,359.02/291.59
  6. Step 6: Final answer
    x = 244.72

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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.