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Finding the Fourth Proportional to 206.40, 307.46 and 201.60

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Solution

The fourth proportional to 206.40, 307.46 and 201.60 is: 300.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.40 : 307.46 = 201.60 : x
  2. Step 2: Convert to fraction form
    206.40/307.46 = 201.60/x
  3. Step 3: Cross multiply
    206.40x = 307.46 × 201.60
  4. Step 4: Simplify right side
    206.40x = 61,983.94
  5. Step 5: Solve for x
    x = 61,983.94/206.40
  6. Step 6: Final answer
    x = 300.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.