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Finding the Fourth Proportional to 312.99, 471.38 and 264.56

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Solution

The fourth proportional to 312.99, 471.38 and 264.56 is: 398.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.99 : 471.38 = 264.56 : x
  2. Step 2: Convert to fraction form
    312.99/471.38 = 264.56/x
  3. Step 3: Cross multiply
    312.99x = 471.38 × 264.56
  4. Step 4: Simplify right side
    312.99x = 124,704.61
  5. Step 5: Solve for x
    x = 124,704.61/312.99
  6. Step 6: Final answer
    x = 398.43

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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.