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Finding the Fourth Proportional to 181.17, 250.02 and 107.47

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Solution

The fourth proportional to 181.17, 250.02 and 107.47 is: 148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.17 : 250.02 = 107.47 : x
  2. Step 2: Convert to fraction form
    181.17/250.02 = 107.47/x
  3. Step 3: Cross multiply
    181.17x = 250.02 × 107.47
  4. Step 4: Simplify right side
    181.17x = 26,869.65
  5. Step 5: Solve for x
    x = 26,869.65/181.17
  6. Step 6: Final answer
    x = 148.31

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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.