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Finding the Fourth Proportional to 327.42, 448.53 and 315.12

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Solution

The fourth proportional to 327.42, 448.53 and 315.12 is: 431.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.42 : 448.53 = 315.12 : x
  2. Step 2: Convert to fraction form
    327.42/448.53 = 315.12/x
  3. Step 3: Cross multiply
    327.42x = 448.53 × 315.12
  4. Step 4: Simplify right side
    327.42x = 141,340.77
  5. Step 5: Solve for x
    x = 141,340.77/327.42
  6. Step 6: Final answer
    x = 431.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.