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Finding the Fourth Proportional to 182, 251.22 and 130.40

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Solution

The fourth proportional to 182, 251.22 and 130.40 is: 179.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    182 : 251.22 = 130.40 : x
  2. Step 2: Convert to fraction form
    182/251.22 = 130.40/x
  3. Step 3: Cross multiply
    182x = 251.22 × 130.40
  4. Step 4: Simplify right side
    182x = 32,759.09
  5. Step 5: Solve for x
    x = 32,759.09/182
  6. Step 6: Final answer
    x = 179.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.