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Finding the Fourth Proportional to 291.89, 437.69 and 86.44

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Solution

The fourth proportional to 291.89, 437.69 and 86.44 is: 129.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.89 : 437.69 = 86.44 : x
  2. Step 2: Convert to fraction form
    291.89/437.69 = 86.44/x
  3. Step 3: Cross multiply
    291.89x = 437.69 × 86.44
  4. Step 4: Simplify right side
    291.89x = 37,833.05
  5. Step 5: Solve for x
    x = 37,833.05/291.89
  6. Step 6: Final answer
    x = 129.61

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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.