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Finding the Fourth Proportional to 312.62, 471.23 and 293.54

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Solution

The fourth proportional to 312.62, 471.23 and 293.54 is: 442.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.62 : 471.23 = 293.54 : x
  2. Step 2: Convert to fraction form
    312.62/471.23 = 293.54/x
  3. Step 3: Cross multiply
    312.62x = 471.23 × 293.54
  4. Step 4: Simplify right side
    312.62x = 138,324.85
  5. Step 5: Solve for x
    x = 138,324.85/312.62
  6. Step 6: Final answer
    x = 442.47

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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.