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Finding the Fourth Proportional to 181.70, 272.68 and 130.43

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Solution

The fourth proportional to 181.70, 272.68 and 130.43 is: 195.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.70 : 272.68 = 130.43 : x
  2. Step 2: Convert to fraction form
    181.70/272.68 = 130.43/x
  3. Step 3: Cross multiply
    181.70x = 272.68 × 130.43
  4. Step 4: Simplify right side
    181.70x = 35,565.65
  5. Step 5: Solve for x
    x = 35,565.65/181.70
  6. Step 6: Final answer
    x = 195.74

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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.