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Finding the Fourth Proportional to 206.39, 309.64 and 183.72

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Solution

The fourth proportional to 206.39, 309.64 and 183.72 is: 275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.39 : 309.64 = 183.72 : x
  2. Step 2: Convert to fraction form
    206.39/309.64 = 183.72/x
  3. Step 3: Cross multiply
    206.39x = 309.64 × 183.72
  4. Step 4: Simplify right side
    206.39x = 56,889.26
  5. Step 5: Solve for x
    x = 56,889.26/206.39
  6. Step 6: Final answer
    x = 275.64

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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.