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Finding the Fourth Proportional to 322.49, 482.90 and 159.75

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Solution

The fourth proportional to 322.49, 482.90 and 159.75 is: 239.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.49 : 482.90 = 159.75 : x
  2. Step 2: Convert to fraction form
    322.49/482.90 = 159.75/x
  3. Step 3: Cross multiply
    322.49x = 482.90 × 159.75
  4. Step 4: Simplify right side
    322.49x = 77,142.48
  5. Step 5: Solve for x
    x = 77,142.48/322.49
  6. Step 6: Final answer
    x = 239.21

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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.