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Finding the Fourth Proportional to 181.40, 249.98 and 150.36

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Solution

The fourth proportional to 181.40, 249.98 and 150.36 is: 207.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.40 : 249.98 = 150.36 : x
  2. Step 2: Convert to fraction form
    181.40/249.98 = 150.36/x
  3. Step 3: Cross multiply
    181.40x = 249.98 × 150.36
  4. Step 4: Simplify right side
    181.40x = 37,586.99
  5. Step 5: Solve for x
    x = 37,586.99/181.40
  6. Step 6: Final answer
    x = 207.21

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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.