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Finding the Fourth Proportional to 181.15, 269.80 and 169.91

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Solution

The fourth proportional to 181.15, 269.80 and 169.91 is: 253.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.15 : 269.80 = 169.91 : x
  2. Step 2: Convert to fraction form
    181.15/269.80 = 169.91/x
  3. Step 3: Cross multiply
    181.15x = 269.80 × 169.91
  4. Step 4: Simplify right side
    181.15x = 45,841.72
  5. Step 5: Solve for x
    x = 45,841.72/181.15
  6. Step 6: Final answer
    x = 253.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.