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Finding the Fourth Proportional to 323.04, 448.90 and 319.70

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Solution

The fourth proportional to 323.04, 448.90 and 319.70 is: 444.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.04 : 448.90 = 319.70 : x
  2. Step 2: Convert to fraction form
    323.04/448.90 = 319.70/x
  3. Step 3: Cross multiply
    323.04x = 448.90 × 319.70
  4. Step 4: Simplify right side
    323.04x = 143,513.33
  5. Step 5: Solve for x
    x = 143,513.33/323.04
  6. Step 6: Final answer
    x = 444.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.