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Finding the Fourth Proportional to 227.48, 314.15 and 181.34

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Solution

The fourth proportional to 227.48, 314.15 and 181.34 is: 250.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.48 : 314.15 = 181.34 : x
  2. Step 2: Convert to fraction form
    227.48/314.15 = 181.34/x
  3. Step 3: Cross multiply
    227.48x = 314.15 × 181.34
  4. Step 4: Simplify right side
    227.48x = 56,967.96
  5. Step 5: Solve for x
    x = 56,967.96/227.48
  6. Step 6: Final answer
    x = 250.43

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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.