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Finding the Fourth Proportional to 300.36, 414.68 and 207.32

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Solution

The fourth proportional to 300.36, 414.68 and 207.32 is: 286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.36 : 414.68 = 207.32 : x
  2. Step 2: Convert to fraction form
    300.36/414.68 = 207.32/x
  3. Step 3: Cross multiply
    300.36x = 414.68 × 207.32
  4. Step 4: Simplify right side
    300.36x = 85,971.46
  5. Step 5: Solve for x
    x = 85,971.46/300.36
  6. Step 6: Final answer
    x = 286.23

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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.