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Finding the Fourth Proportional to 181.65, 250.66 and 102.98

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Solution

The fourth proportional to 181.65, 250.66 and 102.98 is: 142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.65 : 250.66 = 102.98 : x
  2. Step 2: Convert to fraction form
    181.65/250.66 = 102.98/x
  3. Step 3: Cross multiply
    181.65x = 250.66 × 102.98
  4. Step 4: Simplify right side
    181.65x = 25,812.97
  5. Step 5: Solve for x
    x = 25,812.97/181.65
  6. Step 6: Final answer
    x = 142.10

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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.