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Finding the Fourth Proportional to 312.47, 468.90 and 168.29

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Solution

The fourth proportional to 312.47, 468.90 and 168.29 is: 252.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.47 : 468.90 = 168.29 : x
  2. Step 2: Convert to fraction form
    312.47/468.90 = 168.29/x
  3. Step 3: Cross multiply
    312.47x = 468.90 × 168.29
  4. Step 4: Simplify right side
    312.47x = 78,908.84
  5. Step 5: Solve for x
    x = 78,908.84/312.47
  6. Step 6: Final answer
    x = 252.54

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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.