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Finding the Fourth Proportional to 448.42, 675.22 and 327.52

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Solution

The fourth proportional to 448.42, 675.22 and 327.52 is: 493.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.42 : 675.22 = 327.52 : x
  2. Step 2: Convert to fraction form
    448.42/675.22 = 327.52/x
  3. Step 3: Cross multiply
    448.42x = 675.22 × 327.52
  4. Step 4: Simplify right side
    448.42x = 221,148.05
  5. Step 5: Solve for x
    x = 221,148.05/448.42
  6. Step 6: Final answer
    x = 493.17

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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.