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Finding the Fourth Proportional to 312.73, 469.10 and 185.29

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Solution

The fourth proportional to 312.73, 469.10 and 185.29 is: 277.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.73 : 469.10 = 185.29 : x
  2. Step 2: Convert to fraction form
    312.73/469.10 = 185.29/x
  3. Step 3: Cross multiply
    312.73x = 469.10 × 185.29
  4. Step 4: Simplify right side
    312.73x = 86,919.54
  5. Step 5: Solve for x
    x = 86,919.54/312.73
  6. Step 6: Final answer
    x = 277.94

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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.