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Finding the Fourth Proportional to 309.71, 463.66 and 206.80

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Solution

The fourth proportional to 309.71, 463.66 and 206.80 is: 309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.71 : 463.66 = 206.80 : x
  2. Step 2: Convert to fraction form
    309.71/463.66 = 206.80/x
  3. Step 3: Cross multiply
    309.71x = 463.66 × 206.80
  4. Step 4: Simplify right side
    309.71x = 95,884.89
  5. Step 5: Solve for x
    x = 95,884.89/309.71
  6. Step 6: Final answer
    x = 309.60

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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.