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Finding the Fourth Proportional to 297.45, 446.18 and 206.06

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Solution

The fourth proportional to 297.45, 446.18 and 206.06 is: 309.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.45 : 446.18 = 206.06 : x
  2. Step 2: Convert to fraction form
    297.45/446.18 = 206.06/x
  3. Step 3: Cross multiply
    297.45x = 446.18 × 206.06
  4. Step 4: Simplify right side
    297.45x = 91,936.59
  5. Step 5: Solve for x
    x = 91,936.59/297.45
  6. Step 6: Final answer
    x = 309.08

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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.