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Finding the Fourth Proportional to 448.45, 672.66 and 204.64

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Solution

The fourth proportional to 448.45, 672.66 and 204.64 is: 306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.45 : 672.66 = 204.64 : x
  2. Step 2: Convert to fraction form
    448.45/672.66 = 204.64/x
  3. Step 3: Cross multiply
    448.45x = 672.66 × 204.64
  4. Step 4: Simplify right side
    448.45x = 137,653.14
  5. Step 5: Solve for x
    x = 137,653.14/448.45
  6. Step 6: Final answer
    x = 306.95

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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.