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Finding the Fourth Proportional to 322.11, 480.77 and 285.15

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Solution

The fourth proportional to 322.11, 480.77 and 285.15 is: 425.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.11 : 480.77 = 285.15 : x
  2. Step 2: Convert to fraction form
    322.11/480.77 = 285.15/x
  3. Step 3: Cross multiply
    322.11x = 480.77 × 285.15
  4. Step 4: Simplify right side
    322.11x = 137,090.14
  5. Step 5: Solve for x
    x = 137,090.14/322.11
  6. Step 6: Final answer
    x = 425.60

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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.