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Finding the Fourth Proportional to 181.24, 248.63 and 170.20

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Solution

The fourth proportional to 181.24, 248.63 and 170.20 is: 233.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.24 : 248.63 = 170.20 : x
  2. Step 2: Convert to fraction form
    181.24/248.63 = 170.20/x
  3. Step 3: Cross multiply
    181.24x = 248.63 × 170.20
  4. Step 4: Simplify right side
    181.24x = 42,316.83
  5. Step 5: Solve for x
    x = 42,316.83/181.24
  6. Step 6: Final answer
    x = 233.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.