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Finding the Fourth Proportional to 291.94, 438.09 and 129.61

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Solution

The fourth proportional to 291.94, 438.09 and 129.61 is: 194.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.94 : 438.09 = 129.61 : x
  2. Step 2: Convert to fraction form
    291.94/438.09 = 129.61/x
  3. Step 3: Cross multiply
    291.94x = 438.09 × 129.61
  4. Step 4: Simplify right side
    291.94x = 56,780.84
  5. Step 5: Solve for x
    x = 56,780.84/291.94
  6. Step 6: Final answer
    x = 194.49

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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.