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Finding the Fourth Proportional to 322.07, 482.90 and 165.80

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Solution

The fourth proportional to 322.07, 482.90 and 165.80 is: 248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.07 : 482.90 = 165.80 : x
  2. Step 2: Convert to fraction form
    322.07/482.90 = 165.80/x
  3. Step 3: Cross multiply
    322.07x = 482.90 × 165.80
  4. Step 4: Simplify right side
    322.07x = 80,064.82
  5. Step 5: Solve for x
    x = 80,064.82/322.07
  6. Step 6: Final answer
    x = 248.59

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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.