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Finding the Fourth Proportional to 206.85, 310.89 and 183.16

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Solution

The fourth proportional to 206.85, 310.89 and 183.16 is: 275.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.85 : 310.89 = 183.16 : x
  2. Step 2: Convert to fraction form
    206.85/310.89 = 183.16/x
  3. Step 3: Cross multiply
    206.85x = 310.89 × 183.16
  4. Step 4: Simplify right side
    206.85x = 56,942.66
  5. Step 5: Solve for x
    x = 56,942.66/206.85
  6. Step 6: Final answer
    x = 275.28

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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.