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Finding the Fourth Proportional to 312.43, 468.56 and 166.11

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Solution

The fourth proportional to 312.43, 468.56 and 166.11 is: 249.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.43 : 468.56 = 166.11 : x
  2. Step 2: Convert to fraction form
    312.43/468.56 = 166.11/x
  3. Step 3: Cross multiply
    312.43x = 468.56 × 166.11
  4. Step 4: Simplify right side
    312.43x = 77,829.33
  5. Step 5: Solve for x
    x = 77,829.33/312.43
  6. Step 6: Final answer
    x = 249.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.