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Finding the Fourth Proportional to 448, 672.12 and 159.43

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Solution

The fourth proportional to 448, 672.12 and 159.43 is: 239.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    448 : 672.12 = 159.43 : x
  2. Step 2: Convert to fraction form
    448/672.12 = 159.43/x
  3. Step 3: Cross multiply
    448x = 672.12 × 159.43
  4. Step 4: Simplify right side
    448x = 107,156.09
  5. Step 5: Solve for x
    x = 107,156.09/448
  6. Step 6: Final answer
    x = 239.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.