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Finding the Fourth Proportional to 310.50, 464.81 and 206.96

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Solution

The fourth proportional to 310.50, 464.81 and 206.96 is: 309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.50 : 464.81 = 206.96 : x
  2. Step 2: Convert to fraction form
    310.50/464.81 = 206.96/x
  3. Step 3: Cross multiply
    310.50x = 464.81 × 206.96
  4. Step 4: Simplify right side
    310.50x = 96,193.72
  5. Step 5: Solve for x
    x = 96,193.72/310.50
  6. Step 6: Final answer
    x = 309.80

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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.