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Finding the Fourth Proportional to 181.14, 269.75 and 176.89

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Solution

The fourth proportional to 181.14, 269.75 and 176.89 is: 263.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.14 : 269.75 = 176.89 : x
  2. Step 2: Convert to fraction form
    181.14/269.75 = 176.89/x
  3. Step 3: Cross multiply
    181.14x = 269.75 × 176.89
  4. Step 4: Simplify right side
    181.14x = 47,715.18
  5. Step 5: Solve for x
    x = 47,715.18/181.14
  6. Step 6: Final answer
    x = 263.42

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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.