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Finding the Fourth Proportional to 206.74, 310.31 and 192.16

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Solution

The fourth proportional to 206.74, 310.31 and 192.16 is: 288.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.74 : 310.31 = 192.16 : x
  2. Step 2: Convert to fraction form
    206.74/310.31 = 192.16/x
  3. Step 3: Cross multiply
    206.74x = 310.31 × 192.16
  4. Step 4: Simplify right side
    206.74x = 59,629.17
  5. Step 5: Solve for x
    x = 59,629.17/206.74
  6. Step 6: Final answer
    x = 288.43

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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.