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Finding the Fourth Proportional to 322.66, 483.98 and 270.82

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Solution

The fourth proportional to 322.66, 483.98 and 270.82 is: 406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.66 : 483.98 = 270.82 : x
  2. Step 2: Convert to fraction form
    322.66/483.98 = 270.82/x
  3. Step 3: Cross multiply
    322.66x = 483.98 × 270.82
  4. Step 4: Simplify right side
    322.66x = 131,071.46
  5. Step 5: Solve for x
    x = 131,071.46/322.66
  6. Step 6: Final answer
    x = 406.22

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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.