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Finding the Fourth Proportional to 322.01, 480.49 and 302.42

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Solution

The fourth proportional to 322.01, 480.49 and 302.42 is: 451.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.01 : 480.49 = 302.42 : x
  2. Step 2: Convert to fraction form
    322.01/480.49 = 302.42/x
  3. Step 3: Cross multiply
    322.01x = 480.49 × 302.42
  4. Step 4: Simplify right side
    322.01x = 145,309.79
  5. Step 5: Solve for x
    x = 145,309.79/322.01
  6. Step 6: Final answer
    x = 451.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.