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Finding the Fourth Proportional to 448, 618.24 and 344.80

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Solution

The fourth proportional to 448, 618.24 and 344.80 is: 475.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    448 : 618.24 = 344.80 : x
  2. Step 2: Convert to fraction form
    448/618.24 = 344.80/x
  3. Step 3: Cross multiply
    448x = 618.24 × 344.80
  4. Step 4: Simplify right side
    448x = 213,169.15
  5. Step 5: Solve for x
    x = 213,169.15/448
  6. Step 6: Final answer
    x = 475.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.