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Finding the Fourth Proportional to 448.72, 672.42 and 205.12

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Solution

The fourth proportional to 448.72, 672.42 and 205.12 is: 307.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.72 : 672.42 = 205.12 : x
  2. Step 2: Convert to fraction form
    448.72/672.42 = 205.12/x
  3. Step 3: Cross multiply
    448.72x = 672.42 × 205.12
  4. Step 4: Simplify right side
    448.72x = 137,926.79
  5. Step 5: Solve for x
    x = 137,926.79/448.72
  6. Step 6: Final answer
    x = 307.38

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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.