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Finding the Fourth Proportional to 181.65, 271.17 and 154.31

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Solution

The fourth proportional to 181.65, 271.17 and 154.31 is: 230.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.65 : 271.17 = 154.31 : x
  2. Step 2: Convert to fraction form
    181.65/271.17 = 154.31/x
  3. Step 3: Cross multiply
    181.65x = 271.17 × 154.31
  4. Step 4: Simplify right side
    181.65x = 41,842.31
  5. Step 5: Solve for x
    x = 41,842.31/181.65
  6. Step 6: Final answer
    x = 230.35

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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.