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Finding the Fourth Proportional to 305.87, 422.16 and 207.45

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Solution

The fourth proportional to 305.87, 422.16 and 207.45 is: 286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.87 : 422.16 = 207.45 : x
  2. Step 2: Convert to fraction form
    305.87/422.16 = 207.45/x
  3. Step 3: Cross multiply
    305.87x = 422.16 × 207.45
  4. Step 4: Simplify right side
    305.87x = 87,577.09
  5. Step 5: Solve for x
    x = 87,577.09/305.87
  6. Step 6: Final answer
    x = 286.33

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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.