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Finding the Fourth Proportional to 322.84, 482.36 and 286.39

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Solution

The fourth proportional to 322.84, 482.36 and 286.39 is: 427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.84 : 482.36 = 286.39 : x
  2. Step 2: Convert to fraction form
    322.84/482.36 = 286.39/x
  3. Step 3: Cross multiply
    322.84x = 482.36 × 286.39
  4. Step 4: Simplify right side
    322.84x = 138,143.08
  5. Step 5: Solve for x
    x = 138,143.08/322.84
  6. Step 6: Final answer
    x = 427.90

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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.