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Finding the Fourth Proportional to 322.11, 482.54 and 191.84

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Solution

The fourth proportional to 322.11, 482.54 and 191.84 is: 287.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.11 : 482.54 = 191.84 : x
  2. Step 2: Convert to fraction form
    322.11/482.54 = 191.84/x
  3. Step 3: Cross multiply
    322.11x = 482.54 × 191.84
  4. Step 4: Simplify right side
    322.11x = 92,567.10
  5. Step 5: Solve for x
    x = 92,567.10/322.11
  6. Step 6: Final answer
    x = 287.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.