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Finding the Fourth Proportional to 312.38, 471.98 and 309.41

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Solution

The fourth proportional to 312.38, 471.98 and 309.41 is: 467.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.38 : 471.98 = 309.41 : x
  2. Step 2: Convert to fraction form
    312.38/471.98 = 309.41/x
  3. Step 3: Cross multiply
    312.38x = 471.98 × 309.41
  4. Step 4: Simplify right side
    312.38x = 146,035.33
  5. Step 5: Solve for x
    x = 146,035.33/312.38
  6. Step 6: Final answer
    x = 467.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.