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Finding the Fourth Proportional to 322.42, 448.02 and 319.08

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Solution

The fourth proportional to 322.42, 448.02 and 319.08 is: 443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.42 : 448.02 = 319.08 : x
  2. Step 2: Convert to fraction form
    322.42/448.02 = 319.08/x
  3. Step 3: Cross multiply
    322.42x = 448.02 × 319.08
  4. Step 4: Simplify right side
    322.42x = 142,954.22
  5. Step 5: Solve for x
    x = 142,954.22/322.42
  6. Step 6: Final answer
    x = 443.38

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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.