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Finding the Fourth Proportional to 322.62, 445.64 and 260.68

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Solution

The fourth proportional to 322.62, 445.64 and 260.68 is: 360.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.62 : 445.64 = 260.68 : x
  2. Step 2: Convert to fraction form
    322.62/445.64 = 260.68/x
  3. Step 3: Cross multiply
    322.62x = 445.64 × 260.68
  4. Step 4: Simplify right side
    322.62x = 116,169.44
  5. Step 5: Solve for x
    x = 116,169.44/322.62
  6. Step 6: Final answer
    x = 360.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.