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Finding the Fourth Proportional to 319.52, 441.72 and 305.92

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Solution

The fourth proportional to 319.52, 441.72 and 305.92 is: 422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.52 : 441.72 = 305.92 : x
  2. Step 2: Convert to fraction form
    319.52/441.72 = 305.92/x
  3. Step 3: Cross multiply
    319.52x = 441.72 × 305.92
  4. Step 4: Simplify right side
    319.52x = 135,130.98
  5. Step 5: Solve for x
    x = 135,130.98/319.52
  6. Step 6: Final answer
    x = 422.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.