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Finding the Fourth Proportional to 312.73, 471.41 and 295.05

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Solution

The fourth proportional to 312.73, 471.41 and 295.05 is: 444.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.73 : 471.41 = 295.05 : x
  2. Step 2: Convert to fraction form
    312.73/471.41 = 295.05/x
  3. Step 3: Cross multiply
    312.73x = 471.41 × 295.05
  4. Step 4: Simplify right side
    312.73x = 139,089.52
  5. Step 5: Solve for x
    x = 139,089.52/312.73
  6. Step 6: Final answer
    x = 444.76

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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.