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Finding the Fourth Proportional to 312.96, 467.01 and 280.56

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Solution

The fourth proportional to 312.96, 467.01 and 280.56 is: 418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.96 : 467.01 = 280.56 : x
  2. Step 2: Convert to fraction form
    312.96/467.01 = 280.56/x
  3. Step 3: Cross multiply
    312.96x = 467.01 × 280.56
  4. Step 4: Simplify right side
    312.96x = 131,024.33
  5. Step 5: Solve for x
    x = 131,024.33/312.96
  6. Step 6: Final answer
    x = 418.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.