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Finding the Fourth Proportional to 322.32, 446.64 and 318.36

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Solution

The fourth proportional to 322.32, 446.64 and 318.36 is: 441.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.32 : 446.64 = 318.36 : x
  2. Step 2: Convert to fraction form
    322.32/446.64 = 318.36/x
  3. Step 3: Cross multiply
    322.32x = 446.64 × 318.36
  4. Step 4: Simplify right side
    322.32x = 142,192.31
  5. Step 5: Solve for x
    x = 142,192.31/322.32
  6. Step 6: Final answer
    x = 441.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.